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Deck 7: Analytic Trigonometry
Full screen (f)
Question
If a mass that is attached to a spring is raised y 0 feet and released with an initial vertical velocity of v 0 ft / sec, then the subsequent position y of the mass is given by 
where t is time in seconds and 
is a positive constant. If y 0 = 2 and 
= 2, find the initial velocities that result in an amplitude of 4 feet.
A)
B)
C)
D)
E)
where t is time in seconds and is a positive constant. If y 0 = 2 and = 2, find the initial velocities that result in an amplitude of 4 feet.A)
B)
C)
D)
E)
Question
Express as a cofunction of a complementary angle. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Express as a sum or difference. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the exact value. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the exact values of 
for the given values of 
. 
A)
B)
C)
D)
E)
for the given values of . A)
B)
C)
D)
E)
Question
Tell whether the reduction formula is correct or incorrect. 
A)correct
B)incorrect
A)correct
B)incorrect
Question
On a cloudy day with D hours of daylight, the intensity of sunlight I (in calories/cm 2 ) may be approximated by 
where t = 0 corresponds to sunrise and I m is the maximum intensity. If D = 12, approximately how many hours after sunrise is 
? Round your answer to two decimal places.
A)
B)
C)
D)
E)no solution
where t = 0 corresponds to sunrise and I m is the maximum intensity. If D = 12, approximately how many hours after sunrise is ? Round your answer to two decimal places.A)
B)
C)
D)
E)no solution
Question
Verify the identity. 
A)valid
B)invalid
A)valid
B)invalid
Question
Verify the identity. 
A)invalid
B)valid
A)invalid
B)valid
Question
The average monthly high temperature T (in 
) in Augusta, Georgia, can be approximated using the function 
where t is in months and t = 1 corresponds to January. Calculate the average high temperature in July.
A)
B)
C)
D)
E)
) in Augusta, Georgia, can be approximated using the function where t is in months and t = 1 corresponds to January. Calculate the average high temperature in July.A)
B)
C)
D)
E)
Question
A graph of 
for 
is shown in the figure. Find the exact values of the x-intercepts. 
A)
B)
C)
D)
E)
for is shown in the figure. Find the exact values of the x-intercepts. A)
B)
C)
D)
E)
Question
Find the solutions of the equation that are in the interval 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Verify the identity. 
A)Not identical
B)Identical
A)Not identical
B)Identical
Question
Verify the identity. 
A)invalid
B)valid
A)invalid
B)valid
Question
Verify the identity. 
A)invalid
B)valid
A)invalid
B)valid
Question
Find all solutions of the equation. 
A)
for every integer n.
B)
for every integer n.
C)1
D)
for every integer n.
E)
for every integer n.
A)
for every integer n.B)
for every integer n.C)1
D)
for every integer n.E)
for every integer n. Question
A graph of 
for 
is shown in the figure. Find the exact values of the x-intercepts. 
A)
B)
C)
D)
E)
for is shown in the figure. Find the exact values of the x-intercepts. A)
B)
C)
D)
E)
Question
Find the identity for the function. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the exact values of 
for the given conditions. 
A)
B)
C)
D)
E)
for the given conditions. A)
B)
C)
D)
E)
Question
Verify the identity. 
A)invalid
B)valid
A)invalid
B)valid
Question
The average monthly high temperature T (in 
) in Augusta, Georgia, can be approximated using the function 
where t is in months and t = 1 corresponds to January. Calculate the average high temperature in November.
A)
B)
C)
D)
E)
) in Augusta, Georgia, can be approximated using the function where t is in months and t = 1 corresponds to January. Calculate the average high temperature in November.A)
B)
C)
D)
E)
Question
Find the exact value of the expression. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use sum-to-product formulas to find the solutions of the equation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Verify the identity. 
A)valid
B)invalid
A)valid
B)invalid
Question
On a clear day with D hours of daylight, the intensity of sunlight I (in calories/cm 2 ) may be approximated by 
where t = 0 corresponds to sunrise and I m is the maximum intensity. If D = 12, approximately how many hours after sunrise is 
? Round your answer to two decimal places.
A)
B)
C)
D)
E)no solution
where t = 0 corresponds to sunrise and I m is the maximum intensity. If D = 12, approximately how many hours after sunrise is ? Round your answer to two decimal places.A)
B)
C)
D)
E)no solution
Question
Verify the identity. 
A)invalid
B)valid
A)invalid
B)valid
Question
Verify the identity. 
A)invalid
B)valid
A)invalid
B)valid
Question
Find the exact values of 
for the given values of 
. 
A)
B)
C)
D)
E)
for the given values of . A)
B)
C)
D)
E)
Question
Find all solutions of the equation. 
A)
for every integer n.
B)1
C)
for every integer n.
D)
for every integer n.
E)
for every integer n.
A)
for every integer n.B)1
C)
for every integer n.D)
for every integer n.E)
for every integer n. Question
If a mass that is attached to a spring is raised y 0 feet and released with an initial vertical velocity of v 0 ft / sec, then the subsequent position y of the mass is given by 
where t is time in seconds and 
is a positive constant. If y 0 = 2 and 
= 2, find the initial velocities that result in an amplitude of 4 feet.
A)
B)
C)
D)
E)
where t is time in seconds and is a positive constant. If y 0 = 2 and = 2, find the initial velocities that result in an amplitude of 4 feet.A)
B)
C)
D)
E)
Question
Shown in the figure is a graph of the function f for 
. Use a sum-to-product formula to help find the first two x-intercepts. 
A)
B)
C)
D)
E)
. Use a sum-to-product formula to help find the first two x-intercepts. A)
B)
C)
D)
E)
Question
If an earthquake has a total horizontal displacement of S meters along its fault line, then the horizontal movement M of a point on the surface of Earth d kilometers from the fault line can be estimated using the formula 
where D is the depth (in kilometers) below the surface of the focal point of the earthquake. Approximate the depth D of the focal point of an earthquake with S = 3 m if a point on the surface of Earth 3 kilometers from the fault line moved 0.75 meters horizontally. Round the answer to the nearest hundredth.
A)
km
B)
km
C)
km
D)
km
E)
km
where D is the depth (in kilometers) below the surface of the focal point of the earthquake. Approximate the depth D of the focal point of an earthquake with S = 3 m if a point on the surface of Earth 3 kilometers from the fault line moved 0.75 meters horizontally. Round the answer to the nearest hundredth.A)
kmB)
kmC)
kmD)
kmE)
km Question
Express as a cofunction of a complementary angle. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the exact values of 
for the given conditions. 
A)
B)
C)
D)
E)
for the given conditions. A)
B)
C)
D)
E)
Question
Find the exact value of the expression. 
A)
B)0
C)
D)1
E)
A)
B)0
C)
D)1
E)
Question
Find the solutions of the equation that are in the interval 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Verify the identity. 
A)invalid
B)valid
A)invalid
B)valid
Question
Verify the identity. 
A)valid
B)invalid
A)valid
B)invalid
Question
Tell whether the reduction formula is correct or incorrect. 
A)incorrect
B)correct
A)incorrect
B)correct
Question
Find the exact value. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
A graph of 
for 
is shown in the figure. Find the exact values of the x-intercepts. 
A)
B)
C)
D)
E)
for is shown in the figure. Find the exact values of the x-intercepts. A)
B)
C)
D)
E)
Question
Find all solutions of the equation. 
A)1
B)
for every integer n.
C)
for every integer n.
D)
for every integer n.
E)
for every integer n.
A)1
B)
for every integer n.C)
for every integer n.D)
for every integer n.E)
for every integer n. Question
Verify the identity. 
A)invalid
B)valid
A)invalid
B)valid
Question
Express as a cofunction of a complementary angle. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Shown in the figure is a graph of the function f for 
. Use a sum-to-product formula to help find the first two x-intercepts. 
A)
B)
C)
D)
E)
. Use a sum-to-product formula to help find the first two x-intercepts. A)
B)
C)
D)
E)
Question
Verify the identity. 
A)invalid
B)valid
A)invalid
B)valid
Question
Verify the identity. 
A)valid
B)invalid
A)valid
B)invalid
Question
A graph of 
for 
is shown in the figure. Find the exact values of the x-intercepts. 
A)
B)
C)
D)
E)
for is shown in the figure. Find the exact values of the x-intercepts. A)
B)
C)
D)
E)
Question
Find the exact value of the expression. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Express as a sum or difference. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
The average monthly high temperature T (in 
) in Augusta, Georgia, can be approximated using the function 
where t is in months and t = 1 corresponds to January. Calculate the average high temperature in July.
A)
B)
C)
D)
E)
) in Augusta, Georgia, can be approximated using the function where t is in months and t = 1 corresponds to January. Calculate the average high temperature in July.A)
B)
C)
D)
E)
Question
On a cloudy day with D hours of daylight, the intensity of sunlight I (in calories/cm 2 ) may be approximated by 
where t = 0 corresponds to sunrise and I m is the maximum intensity. If D = 12, approximately how many hours after sunrise is 
? Round your answer to two decimal places.
A)
B)
C)
D)
E)no solution
where t = 0 corresponds to sunrise and I m is the maximum intensity. If D = 12, approximately how many hours after sunrise is ? Round your answer to two decimal places.A)
B)
C)
D)
E)no solution
Question
If an earthquake has a total horizontal displacement of S meters along its fault line, then the horizontal movement M of a point on the surface of Earth d kilometers from the fault line can be estimated using the formula 
where D is the depth (in kilometers) below the surface of the focal point of the earthquake. Approximate the depth D of the focal point of an earthquake with S = 3 m if a point on the surface of Earth 3 kilometers from the fault line moved 0.77 meters horizontally. Round the answer to the nearest hundredth.
A)
km
B)
km
C)
km
D)
km
E)
km
where D is the depth (in kilometers) below the surface of the focal point of the earthquake. Approximate the depth D of the focal point of an earthquake with S = 3 m if a point on the surface of Earth 3 kilometers from the fault line moved 0.77 meters horizontally. Round the answer to the nearest hundredth.A)
kmB)
kmC)
kmD)
kmE)
km Question
Verify the identity. 
A)valid
B)invalid
A)valid
B)invalid
Question
Find the identity for the function. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the solutions of the equation that are in the interval 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Verify the identity. 
A)Not identical
B)Identical
A)Not identical
B)Identical
Question
Find the exact value of the expression. 
A)0
B)
C)
D)
E)1
A)0
B)
C)
D)
E)1
Question
Use sum-to-product formulas to find the solutions of the equation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Verify the identity. 
A)valid
B)invalid
A)valid
B)invalid
Question
Find the exact value of the expression. 
A)
B)0
C)1
D)
E)
A)
B)0
C)1
D)
E)
Question
If a mass that is attached to a spring is raised y 0 feet and released with an initial vertical velocity of v 0 ft / sec, then the subsequent position y of the mass is given by 
where t is time in seconds and 
is a positive constant. If y 0 = 1 and 
= 4, find the initial velocities that result in an amplitude of 5 feet.
A)
B)
C)
D)
E)
where t is time in seconds and is a positive constant. If y 0 = 1 and = 4, find the initial velocities that result in an amplitude of 5 feet.A)
B)
C)
D)
E)
Question
Find the exact values of 
for the given conditions. 
A)
B)
C)
D)
E)
for the given conditions. A)
B)
C)
D)
E)
Question
Express as a sum or difference. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use sum-to-product formulas to find the solutions of the equation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the exact value. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the identity for the function. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
A graph of 
for 
is shown in the figure. Find the exact values of the x-intercepts. 
A)
B)
C)
D)
E)
for is shown in the figure. Find the exact values of the x-intercepts. A)
B)
C)
D)
E)
Question
A graph of 
for 
is shown in the figure. Find the exact values of the x-intercepts. 
A)
B)
C)
D)
E)
for is shown in the figure. Find the exact values of the x-intercepts. A)
B)
C)
D)
E)
Question
Verify the identity. 
A)Not identical
B)Identical
A)Not identical
B)Identical
Question
Verify the identity. 
A)valid
B)invalid
A)valid
B)invalid
Question
If an earthquake has a total horizontal displacement of S meters along its fault line, then the horizontal movement M of a point on the surface of Earth d kilometers from the fault line can be estimated using the formula 
where D is the depth (in kilometers) below the surface of the focal point of the earthquake. Approximate the depth D of the focal point of an earthquake with S = 5 m if a point on the surface of Earth 7 kilometers from the fault line moved 0.67 meters horizontally. Round the answer to the nearest hundredth.
A)
km
B)
km
C)
km
D)
km
E)
km
where D is the depth (in kilometers) below the surface of the focal point of the earthquake. Approximate the depth D of the focal point of an earthquake with S = 5 m if a point on the surface of Earth 7 kilometers from the fault line moved 0.67 meters horizontally. Round the answer to the nearest hundredth.A)
kmB)
kmC)
kmD)
kmE)
km Question
Find the exact values of 
for the given values of 
. 
A)
B)
C)
D)
E)
for the given values of . A)
B)
C)
D)
E)
Question
Find the exact value of the expression. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Shown in the figure is a graph of the function f for 
. Use a sum-to-product formula to help find the first two x-intercepts. 
A)
B)
C)
D)
E)
. Use a sum-to-product formula to help find the first two x-intercepts. A)
B)
C)
D)
E)
Question
Verify the identity. 
A)valid
B)invalid
A)valid
B)invalid
Question
Verify the identity. 
A)valid
B)invalid
A)valid
B)invalid
Question
Verify the identity. 
A)invalid
B)valid
A)invalid
B)valid
Question
Tell whether the reduction formula is correct or incorrect. 
A)correct
B)incorrect
A)correct
B)incorrect
Question
Verify the identity. 
A)invalid
B)valid
A)invalid
B)valid
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Full screen (f)
Deck 7: Analytic Trigonometry
1
If a mass that is attached to a spring is raised y 0 feet and released with an initial vertical velocity of v 0 ft / sec, then the subsequent position y of the mass is given by where t is time in seconds and is a positive constant. If y 0 = 2 and = 2, find the initial velocities that result in an amplitude of 4 feet.
A)
B)
C)
D)
E)
where t is time in seconds and is a positive constant. If y 0 = 2 and = 2, find the initial velocities that result in an amplitude of 4 feet.A)
B)
C)
D)
E)
2
Express as a cofunction of a complementary angle.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
3
Express as a sum or difference.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
4
Find the exact value.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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k this deck
5
Find the exact values of for the given values of .
A)
B)
C)
D)
E)
for the given values of . A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
6
Tell whether the reduction formula is correct or incorrect.
A)correct
B)incorrect
A)correct
B)incorrect
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
7
On a cloudy day with D hours of daylight, the intensity of sunlight I (in calories/cm 2 ) may be approximated by where t = 0 corresponds to sunrise and I m is the maximum intensity. If D = 12, approximately how many hours after sunrise is ? Round your answer to two decimal places.
A)
B)
C)
D)
E)no solution
where t = 0 corresponds to sunrise and I m is the maximum intensity. If D = 12, approximately how many hours after sunrise is ? Round your answer to two decimal places.A)
B)
C)
D)
E)no solution
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
8
Verify the identity.
A)valid
B)invalid
A)valid
B)invalid
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
9
Verify the identity.
A)invalid
B)valid
A)invalid
B)valid
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
10
The average monthly high temperature T (in ) in Augusta, Georgia, can be approximated using the function where t is in months and t = 1 corresponds to January. Calculate the average high temperature in July.
A)
B)
C)
D)
E)
) in Augusta, Georgia, can be approximated using the function where t is in months and t = 1 corresponds to January. Calculate the average high temperature in July.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
11
A graph of for is shown in the figure. Find the exact values of the x-intercepts.
A)
B)
C)
D)
E)
for is shown in the figure. Find the exact values of the x-intercepts. A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
12
Find the solutions of the equation that are in the interval
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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13
Verify the identity.
A)Not identical
B)Identical
A)Not identical
B)Identical
Unlock Deck
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14
Verify the identity.
A)invalid
B)valid
A)invalid
B)valid
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
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15
Verify the identity.
A)invalid
B)valid
A)invalid
B)valid
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Unlock Deck
k this deck
16
Find all solutions of the equation.
A) for every integer n.
B) for every integer n.
C)1
D) for every integer n.
E) for every integer n.
A)
for every integer n.B)
for every integer n.C)1
D)
for every integer n.E)
for every integer n. Unlock Deck
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17
A graph of for is shown in the figure. Find the exact values of the x-intercepts.
A)
B)
C)
D)
E)
for is shown in the figure. Find the exact values of the x-intercepts. A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
18
Find the identity for the function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
19
Find the exact values of for the given conditions.
A)
B)
C)
D)
E)
for the given conditions. A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
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20
Verify the identity.
A)invalid
B)valid
A)invalid
B)valid
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
21
The average monthly high temperature T (in ) in Augusta, Georgia, can be approximated using the function where t is in months and t = 1 corresponds to January. Calculate the average high temperature in November.
A)
B)
C)
D)
E)
) in Augusta, Georgia, can be approximated using the function where t is in months and t = 1 corresponds to January. Calculate the average high temperature in November.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
22
Find the exact value of the expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
k this deck
23
Use sum-to-product formulas to find the solutions of the equation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
24
Verify the identity.
A)valid
B)invalid
A)valid
B)invalid
Unlock Deck
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Unlock Deck
k this deck
25
On a clear day with D hours of daylight, the intensity of sunlight I (in calories/cm 2 ) may be approximated by where t = 0 corresponds to sunrise and I m is the maximum intensity. If D = 12, approximately how many hours after sunrise is ? Round your answer to two decimal places.
A)
B)
C)
D)
E)no solution
where t = 0 corresponds to sunrise and I m is the maximum intensity. If D = 12, approximately how many hours after sunrise is ? Round your answer to two decimal places.A)
B)
C)
D)
E)no solution
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
26
Verify the identity.
A)invalid
B)valid
A)invalid
B)valid
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
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27
Verify the identity.
A)invalid
B)valid
A)invalid
B)valid
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
28
Find the exact values of for the given values of .
A)
B)
C)
D)
E)
for the given values of . A)
B)
C)
D)
E)
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Unlock for access to all 150 flashcards in this deck.
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k this deck
29
Find all solutions of the equation.
A) for every integer n.
B)1
C) for every integer n.
D) for every integer n.
E) for every integer n.
A)
for every integer n.B)1
C)
for every integer n.D)
for every integer n.E)
for every integer n. Unlock Deck
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k this deck
30
If a mass that is attached to a spring is raised y 0 feet and released with an initial vertical velocity of v 0 ft / sec, then the subsequent position y of the mass is given by where t is time in seconds and is a positive constant. If y 0 = 2 and = 2, find the initial velocities that result in an amplitude of 4 feet.
A)
B)
C)
D)
E)
where t is time in seconds and is a positive constant. If y 0 = 2 and = 2, find the initial velocities that result in an amplitude of 4 feet.A)
B)
C)
D)
E)
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k this deck
31
Shown in the figure is a graph of the function f for . Use a sum-to-product formula to help find the first two x-intercepts.
A)
B)
C)
D)
E)
. Use a sum-to-product formula to help find the first two x-intercepts. A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
32
If an earthquake has a total horizontal displacement of S meters along its fault line, then the horizontal movement M of a point on the surface of Earth d kilometers from the fault line can be estimated using the formula where D is the depth (in kilometers) below the surface of the focal point of the earthquake. Approximate the depth D of the focal point of an earthquake with S = 3 m if a point on the surface of Earth 3 kilometers from the fault line moved 0.75 meters horizontally. Round the answer to the nearest hundredth.
A) km
B) km
C) km
D) km
E) km
where D is the depth (in kilometers) below the surface of the focal point of the earthquake. Approximate the depth D of the focal point of an earthquake with S = 3 m if a point on the surface of Earth 3 kilometers from the fault line moved 0.75 meters horizontally. Round the answer to the nearest hundredth.A)
kmB)
kmC)
kmD)
kmE)
km Unlock Deck
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Unlock Deck
k this deck
33
Express as a cofunction of a complementary angle.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
34
Find the exact values of for the given conditions.
A)
B)
C)
D)
E)
for the given conditions. A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
35
Find the exact value of the expression.
A)
B)0
C)
D)1
E)
A)
B)0
C)
D)1
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
36
Find the solutions of the equation that are in the interval
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
37
Verify the identity.
A)invalid
B)valid
A)invalid
B)valid
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
38
Verify the identity.
A)valid
B)invalid
A)valid
B)invalid
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
39
Tell whether the reduction formula is correct or incorrect.
A)incorrect
B)correct
A)incorrect
B)correct
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
40
Find the exact value.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
41
A graph of for is shown in the figure. Find the exact values of the x-intercepts.
A)
B)
C)
D)
E)
for is shown in the figure. Find the exact values of the x-intercepts. A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
42
Find all solutions of the equation.
A)1
B) for every integer n.
C) for every integer n.
D) for every integer n.
E) for every integer n.
A)1
B)
for every integer n.C)
for every integer n.D)
for every integer n.E)
for every integer n. Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
43
Verify the identity.
A)invalid
B)valid
A)invalid
B)valid
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
44
Express as a cofunction of a complementary angle.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
45
Shown in the figure is a graph of the function f for . Use a sum-to-product formula to help find the first two x-intercepts.
A)
B)
C)
D)
E)
. Use a sum-to-product formula to help find the first two x-intercepts. A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
46
Verify the identity.
A)invalid
B)valid
A)invalid
B)valid
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
47
Verify the identity.
A)valid
B)invalid
A)valid
B)invalid
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
48
A graph of for is shown in the figure. Find the exact values of the x-intercepts.
A)
B)
C)
D)
E)
for is shown in the figure. Find the exact values of the x-intercepts. A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
49
Find the exact value of the expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
50
Express as a sum or difference.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
51
The average monthly high temperature T (in ) in Augusta, Georgia, can be approximated using the function where t is in months and t = 1 corresponds to January. Calculate the average high temperature in July.
A)
B)
C)
D)
E)
) in Augusta, Georgia, can be approximated using the function where t is in months and t = 1 corresponds to January. Calculate the average high temperature in July.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
52
On a cloudy day with D hours of daylight, the intensity of sunlight I (in calories/cm 2 ) may be approximated by where t = 0 corresponds to sunrise and I m is the maximum intensity. If D = 12, approximately how many hours after sunrise is ? Round your answer to two decimal places.
A)
B)
C)
D)
E)no solution
where t = 0 corresponds to sunrise and I m is the maximum intensity. If D = 12, approximately how many hours after sunrise is ? Round your answer to two decimal places.A)
B)
C)
D)
E)no solution
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
53
If an earthquake has a total horizontal displacement of S meters along its fault line, then the horizontal movement M of a point on the surface of Earth d kilometers from the fault line can be estimated using the formula where D is the depth (in kilometers) below the surface of the focal point of the earthquake. Approximate the depth D of the focal point of an earthquake with S = 3 m if a point on the surface of Earth 3 kilometers from the fault line moved 0.77 meters horizontally. Round the answer to the nearest hundredth.
A) km
B) km
C) km
D) km
E) km
where D is the depth (in kilometers) below the surface of the focal point of the earthquake. Approximate the depth D of the focal point of an earthquake with S = 3 m if a point on the surface of Earth 3 kilometers from the fault line moved 0.77 meters horizontally. Round the answer to the nearest hundredth.A)
kmB)
kmC)
kmD)
kmE)
km Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
54
Verify the identity.
A)valid
B)invalid
A)valid
B)invalid
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
55
Find the identity for the function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
56
Find the solutions of the equation that are in the interval
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
57
Verify the identity.
A)Not identical
B)Identical
A)Not identical
B)Identical
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
58
Find the exact value of the expression.
A)0
B)
C)
D)
E)1
A)0
B)
C)
D)
E)1
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
59
Use sum-to-product formulas to find the solutions of the equation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
60
Verify the identity.
A)valid
B)invalid
A)valid
B)invalid
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
61
Find the exact value of the expression.
A)
B)0
C)1
D)
E)
A)
B)0
C)1
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
62
If a mass that is attached to a spring is raised y 0 feet and released with an initial vertical velocity of v 0 ft / sec, then the subsequent position y of the mass is given by where t is time in seconds and is a positive constant. If y 0 = 1 and = 4, find the initial velocities that result in an amplitude of 5 feet.
A)
B)
C)
D)
E)
where t is time in seconds and is a positive constant. If y 0 = 1 and = 4, find the initial velocities that result in an amplitude of 5 feet.A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
63
Find the exact values of for the given conditions.
A)
B)
C)
D)
E)
for the given conditions. A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
64
Express as a sum or difference.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
65
Use sum-to-product formulas to find the solutions of the equation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
66
Find the exact value.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
67
Find the identity for the function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
68
A graph of for is shown in the figure. Find the exact values of the x-intercepts.
A)
B)
C)
D)
E)
for is shown in the figure. Find the exact values of the x-intercepts. A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
69
A graph of for is shown in the figure. Find the exact values of the x-intercepts.
A)
B)
C)
D)
E)
for is shown in the figure. Find the exact values of the x-intercepts. A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
70
Verify the identity.
A)Not identical
B)Identical
A)Not identical
B)Identical
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
71
Verify the identity.
A)valid
B)invalid
A)valid
B)invalid
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
72
If an earthquake has a total horizontal displacement of S meters along its fault line, then the horizontal movement M of a point on the surface of Earth d kilometers from the fault line can be estimated using the formula where D is the depth (in kilometers) below the surface of the focal point of the earthquake. Approximate the depth D of the focal point of an earthquake with S = 5 m if a point on the surface of Earth 7 kilometers from the fault line moved 0.67 meters horizontally. Round the answer to the nearest hundredth.
A) km
B) km
C) km
D) km
E) km
where D is the depth (in kilometers) below the surface of the focal point of the earthquake. Approximate the depth D of the focal point of an earthquake with S = 5 m if a point on the surface of Earth 7 kilometers from the fault line moved 0.67 meters horizontally. Round the answer to the nearest hundredth.A)
kmB)
kmC)
kmD)
kmE)
km Unlock Deck
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Unlock Deck
k this deck
73
Find the exact values of for the given values of .
A)
B)
C)
D)
E)
for the given values of . A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
74
Find the exact value of the expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
75
Shown in the figure is a graph of the function f for . Use a sum-to-product formula to help find the first two x-intercepts.
A)
B)
C)
D)
E)
. Use a sum-to-product formula to help find the first two x-intercepts. A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
76
Verify the identity.
A)valid
B)invalid
A)valid
B)invalid
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
77
Verify the identity.
A)valid
B)invalid
A)valid
B)invalid
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
78
Verify the identity.
A)invalid
B)valid
A)invalid
B)valid
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
79
Tell whether the reduction formula is correct or incorrect.
A)correct
B)incorrect
A)correct
B)incorrect
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
80
Verify the identity.
A)invalid
B)valid
A)invalid
B)valid
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
Unlock Deck
k this deck
Unlock Deck
Unlock for access to all 150 flashcards in this deck.
