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Deck 6: Trigonometric Identities and Equations
Full screen (f)
Question
Write the expression in terms of a single trigonometric function. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Which of the following is an equivalent expression for 
?
A)cot 8 x
B)2 cot x
C)2 sin 8 x
D)2 tan 8 x
E)tan 8 x
?A)cot 8 x
B)2 cot x
C)2 sin 8 x
D)2 tan 8 x
E)tan 8 x
Question
Find the exact values of sin 2 a, cos 2 a, and tan 2 a, given the following information. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the exact value of the given function. 
, a in Quadrant I, and 
, b in Quadrant IV, find sin ( a b ).
A)
B)
C)
D)
E)
, a in Quadrant I, and , b in Quadrant IV, find sin ( a b ).A)
B)
C)
D)
E)
Question
Write the expression as the product of two functions. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Which of the following is an equivalent expression for 
?
A)-1
B)p
C)0
D)
E)1
?A)-1
B)p
C)0
D)
E)1
Question
Which of the following is equivalent to 
?
A)
B)
C)
D)
E)
?A)
B)
C)
D)
E)
Question
Which of the following is an equivalent expression for 
?
A)
B)
C)
D)
E)
?A)
B)
C)
D)
E)
Question
Complete the identity by finding the right side of the equation. 
= ?
A)
B)
C)
D)
E)
= ?A)
B)
C)
D)
E)
Question
Find the exact value of the expression. 
A)
B)
C)20
D)
E)
A)
B)
C)20
D)
E)
Question
Show that the equation is not an identity by finding an x value for which the left side of the equation is not equal to the right side. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Write the expression in terms of a single trigonometric function. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Graph the given equation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Write the given equation in the form 
where the measure of a is in degrees. 
A)
B)
C)
D)
E)
where the measure of a is in degrees. A)
B)
C)
D)
E)
Question
Which of the following is an equivalent expression for 
?
A)
B)
C)
D)
E)
?A)
B)
C)
D)
E)
Question
Use the half-angle identities to find the exact value of the trigonometric expression. cos 22.5 °
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Write the given equation in the form 
where the measure of 
is in radians. 
A)
B)
C)
D)
E)
where the measure of is in radians. A)
B)
C)
D)
E)
Question
Which of the following is an equivalent expression for 
?
A)
B)
C)
D)
E)
?A)
B)
C)
D)
E)
Question
Write the trigonometric function in terms of a single trigonometric function. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Write the expression as the sum or difference of two functions. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
The table below shows the sunset time for Omaha, Nebraska, for selected days in 2009. Find the sine regression function that models the sunset time, in hours, as a function of the day number. Let x = 1 represent January 1, 2009. Assume that the sunset times have a period of 365.25 days. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Solve for y in terms of x . 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Graph the equation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Solve the equation for exact solutions in the interval 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
Question
Use a graphing utility to solve the equation. State the approximate solution to the nearest ten-thousandth. 
where 
A)
B)
C)
D)
E)
where A)
B)
C)
D)
E)
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Deck 6: Trigonometric Identities and Equations
1
Write the expression in terms of a single trigonometric function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
2
Which of the following is an equivalent expression for ?
A)cot 8 x
B)2 cot x
C)2 sin 8 x
D)2 tan 8 x
E)tan 8 x
?A)cot 8 x
B)2 cot x
C)2 sin 8 x
D)2 tan 8 x
E)tan 8 x
2 tan 8 x
3
Find the exact values of sin 2 a, cos 2 a, and tan 2 a, given the following information.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
4
Find the exact value of the given function. , a in Quadrant I, and , b in Quadrant IV, find sin ( a b ).
A)
B)
C)
D)
E)
, a in Quadrant I, and , b in Quadrant IV, find sin ( a b ).A)
B)
C)
D)
E)
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5
Write the expression as the product of two functions.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock for access to all 25 flashcards in this deck.
Unlock Deck
k this deck
6
Which of the following is an equivalent expression for ?
A)-1
B)p
C)0
D)
E)1
?A)-1
B)p
C)0
D)
E)1
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7
Which of the following is equivalent to ?
A)
B)
C)
D)
E)
?A)
B)
C)
D)
E)
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Unlock Deck
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8
Which of the following is an equivalent expression for ?
A)
B)
C)
D)
E)
?A)
B)
C)
D)
E)
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Unlock for access to all 25 flashcards in this deck.
Unlock Deck
k this deck
9
Complete the identity by finding the right side of the equation. = ?
A)
B)
C)
D)
E)
= ?A)
B)
C)
D)
E)
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k this deck
10
Find the exact value of the expression.
A)
B)
C)20
D)
E)
A)
B)
C)20
D)
E)
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11
Show that the equation is not an identity by finding an x value for which the left side of the equation is not equal to the right side.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock for access to all 25 flashcards in this deck.
Unlock Deck
k this deck
12
Write the expression in terms of a single trigonometric function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 25 flashcards in this deck.
Unlock Deck
k this deck
13
Graph the given equation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock for access to all 25 flashcards in this deck.
Unlock Deck
k this deck
14
Write the given equation in the form where the measure of a is in degrees.
A)
B)
C)
D)
E)
where the measure of a is in degrees. A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 25 flashcards in this deck.
Unlock Deck
k this deck
15
Which of the following is an equivalent expression for ?
A)
B)
C)
D)
E)
?A)
B)
C)
D)
E)
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Unlock for access to all 25 flashcards in this deck.
Unlock Deck
k this deck
16
Use the half-angle identities to find the exact value of the trigonometric expression. cos 22.5 °
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 25 flashcards in this deck.
Unlock Deck
k this deck
17
Write the given equation in the form where the measure of is in radians.
A)
B)
C)
D)
E)
where the measure of is in radians. A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 25 flashcards in this deck.
Unlock Deck
k this deck
18
Which of the following is an equivalent expression for ?
A)
B)
C)
D)
E)
?A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 25 flashcards in this deck.
Unlock Deck
k this deck
19
Write the trigonometric function in terms of a single trigonometric function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 25 flashcards in this deck.
Unlock Deck
k this deck
20
Write the expression as the sum or difference of two functions.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 25 flashcards in this deck.
Unlock Deck
k this deck
21
The table below shows the sunset time for Omaha, Nebraska, for selected days in 2009. Find the sine regression function that models the sunset time, in hours, as a function of the day number. Let x = 1 represent January 1, 2009. Assume that the sunset times have a period of 365.25 days.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 25 flashcards in this deck.
Unlock Deck
k this deck
22
Solve for y in terms of x .
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock for access to all 25 flashcards in this deck.
Unlock Deck
k this deck
23
Graph the equation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock for access to all 25 flashcards in this deck.
Unlock Deck
k this deck
24
Solve the equation for exact solutions in the interval .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
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Unlock for access to all 25 flashcards in this deck.
Unlock Deck
k this deck
25
Use a graphing utility to solve the equation. State the approximate solution to the nearest ten-thousandth. where
A)
B)
C)
D)
E)
where A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 25 flashcards in this deck.
Unlock Deck
k this deck
Unlock Deck
Unlock for access to all 25 flashcards in this deck.
