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Deck 2: Analytic-Trigonometry
Full screen (f)
Question
Use the figure to find the exact value of the trigonometric function.
Tan 2θ
A = 1, b = 6
A)
B)
C)
D)
E)
Tan 2θ
A = 1, b = 6
A)
B)
C)
D)
E)
Question
Use the half-angle formulas to simplify the expression. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use a double-angle formula to rewrite the expression.
A)sin x
B)2 sin x
C)2 sin 2x
D) sin x
E) sin 2x
A)sin x
B)2 sin x
C)2 sin 2x
D) sin x
E) sin 2x
Question
Use the half-angle formulas to simplify the expression.
A)- |cos x|
B)|cos x|
C)|cos 4x|
D)- |cos 4x|
E)- |cos 8x|
A)- |cos x|
B)|cos x|
C)|cos 4x|
D)- |cos 4x|
E)- |cos 8x|
Question
Question
Question
Use the product-to-sum formulas to rewrite the product as a sum or difference. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the figure to find the exact value of the trigonometric function.
Cos 2θ
A = 1, b = 2
A)
B)
C)
D)
E)
Cos 2θ
A = 1, b = 2
A)
B)
C)
D)
E)
Question
Use the product-to-sum formulas to rewrite the product as a sum or difference. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Question
Use the product-to-sum formulas to rewrite the product as a sum or difference. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the figure to find the exact value of the trigonometric function.
Sin 2θ
A = 1, b = 2
A)
B)
C)
D)
E)
Sin 2θ
A = 1, b = 2
A)
B)
C)
D)
E)
Question
Use the figure to find the exact value of the trigonometric function.
Csc 2θ
A = 1, b = 6
A)
B)
C)
D)
E)
Csc 2θ
A = 1, b = 6
A)
B)
C)
D)
E)
Question
Use the half-angle formulas to simplify the expression.
A)|sin 5x|
B)- |sin x|
C)|sin 10x|
D)- |sin 5x|
E)|sin x|
A)|sin 5x|
B)- |sin x|
C)|sin 10x|
D)- |sin 5x|
E)|sin x|
Question
Use the product-to-sum formulas to rewrite the product as a sum or difference. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the sum-to-product formulas to rewrite the sum or difference as a product. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the sum-to-product formulas to rewrite the sum or difference as a product. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the half-angle formulas to simplify the expression. 
A)- |cot x|
B)- |3 tan x|
C)- |3 tan 6x|
D)- |3 cot 3x|
E)- |cot 3x|
A)- |cot x|
B)- |3 tan x|
C)- |3 tan 6x|
D)- |3 cot 3x|
E)- |cot 3x|
Question
Use the figure to find the exact value of the trigonometric function.
Sec 2θ
A = 1, b = 8
A)
B)
C)
D)
E)
Sec 2θ
A = 1, b = 8
A)
B)
C)
D)
E)
Question
Use the figure to find the exact value of the trigonometric function.
Cot 2θ
A = 1, b = 6
A)
B)
C)
D)
E)
Cot 2θ
A = 1, b = 6
A)
B)
C)
D)
E)
Question
Convert the expression. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Convert the expression. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the exact solutions of the given equation in the interval [0, 2π).
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
The mach number M of an airplane is the ratio of its speed to the speed of sound.When an airplane travels faster than the speed of sound, the sound waves form a cone behind the airplane (see figure).The mach number is related to the apex angle θ of the cone by 
. 
Rewrite the equation in terms of θ.
A)
B)
C)
D)
E)
. Rewrite the equation in terms of θ.
A)
B)
C)
D)
E)
Question
Convert the expression. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the sum-to-product formulas to rewrite the sum or difference as a product.
Cos 3θ + cos 8θ
A)
B)
C)
D)
E)
Cos 3θ + cos 8θ
A)
B)
C)
D)
E)
Question
Use a double-angle formula to find the exact value of cos2u when 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
When two railroad tracks merge, the overlapping portions of the tracks are in the shapes of circular arcs (see figure).The radius of each arc r (in feet) and the angle θ are related by 
Write a formula for x in terms of cos θ.
A)
B)
C)
D)
E)
Write a formula for x in terms of cos θ.
A)
B)
C)
D)
E)
Question
Convert the expression. 
A)2 cos b
B)cos 2b
C)cos b
D)2 cos 2b
E)4 cos b
A)2 cos b
B)cos 2b
C)cos b
D)2 cos 2b
E)4 cos b
Question
Find the exact solutions of the given equation in the interval [0, 2π). 
A)
B)
C)
D)x = 0
E)
A)
B)
C)
D)x = 0
E)
Question
Use the sum-to-product formulas to rewrite the sum or difference as a product. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the figure below to determine the exact value of the given function. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Convert the expression. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the figure to find the exact value of the trigonometric function. 
Cos 2β
A)
B)
C)
D)
E)
Cos 2β
A)
B)
C)
D)
E)
Question
Use the figure to find the exact value of the trigonometric function. 
Sin 2α
A)
B)
C)
D)
E)
Sin 2α
A)
B)
C)
D)
E)
Question
Convert the expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Convert the expression. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the sum-to-product formulas to select the sum or difference as a product. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use a double angle formula to rewrite the given expression. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Convert the expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
The range of a projectile fired at an angle θ with the horizontal and with an initial velocity of v0 feet per second is 
where r is measured in feet.A golfer strikes a golf ball at 90 feet per second.Ignoring the effects of air resistance, at what angle must the golfer hit the ball so that it travels 150 feet? (Round your answer to the nearest degree.)
A)14°
B)36°
C)18°
D)27°
E)41°
where r is measured in feet.A golfer strikes a golf ball at 90 feet per second.Ignoring the effects of air resistance, at what angle must the golfer hit the ball so that it travels 150 feet? (Round your answer to the nearest degree.)A)14°
B)36°
C)18°
D)27°
E)41°
Question
Use the sum-to-product formulas to write the given expression as a product.
A)2 sin 4θ cos θ
B)-2 sin 4θ sin θ
C)-2 cos 4θ cos θ
D)2 cos 4θ sin θ
E)2 cos 4θ cos θ
A)2 sin 4θ cos θ
B)-2 sin 4θ sin θ
C)-2 cos 4θ cos θ
D)2 cos 4θ sin θ
E)2 cos 4θ cos θ
Question
Find all solutions of the given equation in the interval [0, 2π).
A)
B)
C)
D)
E)x = 0
A)
B)
C)
D)
E)x = 0
Question
Find the expression as the tangent of an angle. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the expression as the tangent of an angle. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the figure below to find the exact value of the given trigonometric expression. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the half-angle formulas to determine the exact value of the given trigonometric expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the expression as the sine or cosine of an angle. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the expression as the tangent of an angle. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the half-angle formula to simplify the given expression.
A)cos |2x|
B)cos |8x|
C)cos |16x|
D)cos |32x|
E)cos |4x|
A)cos |2x|
B)cos |8x|
C)cos |16x|
D)cos |32x|
E)cos |4x|
Question
Simplify the expression algebraically. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the sum-to-product formulas to find the exact value of the given expression.
A)
B)1
C)
D)-1
E)0
A)
B)1
C)
D)-1
E)0
Question
Find the expression as the sine of an angle. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the expression as the sine or cosine of an angle. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the figure below to find the exact value of the given trigonometric expression. 
10
24
(figure not necessarily to scale)
A)
B)
C)
D)
E)
1024
(figure not necessarily to scale)
A)
B)
C)
D)
E)
Question
Use the product-to-sum formula to write the given product as a sum or difference. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the expression as the cosine of an angle.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find all solutions of the given equation in the interval [0, 2π).
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the expression as the sine of an angle. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Simplify the expression algebraically. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the formula 
, where 
, to rewrite the trigonometric expression in the form. 
A)
B)
C)
D)
E)
, where , to rewrite the trigonometric expression in the form. A)
B)
C)
D)
E)
Question
Simplify the expression algebraically. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Simplify the expression algebraically. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Simplify the expression algebraically. 
A)
B)0
C)
D)1
E)6
A)
B)0
C)
D)1
E)6
Question
Use the formula 
, where 
to rewrite the trigonometric expression in the following form. 
A)
B)
C)7
D)3
E)3
, where to rewrite the trigonometric expression in the following form. A)
B)
C)7
D)3
E)3
Question
A weight is attached to a spring suspended vertically from a ceiling.When a driving force is applied to the system, the weight moves vertically from its equilibrium position, and this motion is modeled by 
Where y is the distance from equilibrium (in feet) and t is the time (in seconds).
Use the identity
where 
, to write the model in the form 
.
A)
B)
C)
D)
E)
Where y is the distance from equilibrium (in feet) and t is the time (in seconds).
Use the identity
where , to write the model in the form .
A)
B)
C)
D)
E)
Question
Simplify the expression algebraically. 
A)-
B)
C)
D)
E)
A)-
B)
C)
D)
E)
Question
Use the formula 
, where 
to rewrite the trigonometric expression in the following form. 
A)
B)
C)3
D)
E)
, where to rewrite the trigonometric expression in the following form. A)
B)
C)3
D)
E)
Question
Use the formula 
, where 
, to rewrite the trigonometric expression in the following form. 
A)
B)
C)
D)
E)
, where , to rewrite the trigonometric expression in the following form. A)
B)
C)
D)
E)
Question
Use the formula 
, where 
to rewrite the trigonometric expression in the following form. 
A)
B)9
C)9
D)
E)2
, where to rewrite the trigonometric expression in the following form. A)
B)9
C)9
D)
E)2
Question
Simplify the expression algebraically. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Simplify the expression algebraically. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the formula 
, where 
, to rewrite the trigonometric expression in the form 
9 
A)
B)
C)
D)
E)
, where , to rewrite the trigonometric expression in the form 9 A)
B)
C)
D)
E)
Question
Use the formula 
, where 
, to rewrite the trigonometric expression in the following form. 
A)
B)
C)
D)
E)
, where , to rewrite the trigonometric expression in the following form. A)
B)
C)
D)
E)
Question
Use the formula 
, where 
to rewrite the trigonometric expression in the following form. 
A)6
B)
C)
D)13
E)13
, where to rewrite the trigonometric expression in the following form. A)6
B)
C)
D)13
E)13
Question
Use the formula 
, where 
, to rewrite the trigonometric expression in the following form. 
A)2
B)
C)
D)2
E)8
, where , to rewrite the trigonometric expression in the following form. A)2
B)
C)
D)2
E)8
Question
Use the formula 
, where 
, to rewrite the trigonometric expression in the following form. 
A)
B)
C)
D)
E)
, where , to rewrite the trigonometric expression in the following form. A)
B)
C)
D)
E)
Question
A weight is attached to a spring suspended vertically from a ceiling.When a driving force is applied to the system, the weight moves vertically from its equilibrium position, and this motion is modeled by 
where y is the distance from equilibrium (in feet) and t is the time (in seconds).
Find the amplitude of the oscillations of the weight.
A)
B)
C)
D)
E)
where y is the distance from equilibrium (in feet) and t is the time (in seconds).Find the amplitude of the oscillations of the weight.
A)
B)
C)
D)
E)
Question
Simplify the expression algebraically. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Simplify the expression algebraically. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Deck 2: Analytic-Trigonometry
1
Use the figure to find the exact value of the trigonometric function.
Tan 2θ
A = 1, b = 6
A)
B)
C)
D)
E)
Tan 2θ
A = 1, b = 6
A)
B)
C)
D)
E)
2
Use the half-angle formulas to simplify the expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
3
Use a double-angle formula to rewrite the expression.
A)sin x
B)2 sin x
C)2 sin 2x
D) sin x
E) sin 2x
A)sin x
B)2 sin x
C)2 sin 2x
D) sin x
E) sin 2x
sin 2x
4
Use the half-angle formulas to simplify the expression.
A)- |cos x|
B)|cos x|
C)|cos 4x|
D)- |cos 4x|
E)- |cos 8x|
A)- |cos x|
B)|cos x|
C)|cos 4x|
D)- |cos 4x|
E)- |cos 8x|
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5
Use a double-angle formula to rewrite the expression.
2 sin2 x - 1
A)cos x
B)cos 2x
C)-2 cos x
D)2 cos 2x
E)- cos 2x
2 sin2 x - 1
A)cos x
B)cos 2x
C)-2 cos x
D)2 cos 2x
E)- cos 2x
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6
Use a double-angle formula to rewrite the expression.
10 cos2 x - 5
A)5 cos x
B)cos 5x
C)10 cos 2x
D)10 cos x
E)5 cos 2x
10 cos2 x - 5
A)5 cos x
B)cos 5x
C)10 cos 2x
D)10 cos x
E)5 cos 2x
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7
Use the product-to-sum formulas to rewrite the product as a sum or difference.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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8
Use the figure to find the exact value of the trigonometric function.
Cos 2θ
A = 1, b = 2
A)
B)
C)
D)
E)
Cos 2θ
A = 1, b = 2
A)
B)
C)
D)
E)
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9
Use the product-to-sum formulas to rewrite the product as a sum or difference.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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10
Use a double-angle formula to rewrite the expression.
3 - 6 sin2 x
A)6 cos x
B)3 sin 2x
C)3 sin x
D)3 cos 2x
E)6 cos 2x
3 - 6 sin2 x
A)6 cos x
B)3 sin 2x
C)3 sin x
D)3 cos 2x
E)6 cos 2x
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11
Use the product-to-sum formulas to rewrite the product as a sum or difference.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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12
Use the figure to find the exact value of the trigonometric function.
Sin 2θ
A = 1, b = 2
A)
B)
C)
D)
E)
Sin 2θ
A = 1, b = 2
A)
B)
C)
D)
E)
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13
Use the figure to find the exact value of the trigonometric function.
Csc 2θ
A = 1, b = 6
A)
B)
C)
D)
E)
Csc 2θ
A = 1, b = 6
A)
B)
C)
D)
E)
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14
Use the half-angle formulas to simplify the expression.
A)|sin 5x|
B)- |sin x|
C)|sin 10x|
D)- |sin 5x|
E)|sin x|
A)|sin 5x|
B)- |sin x|
C)|sin 10x|
D)- |sin 5x|
E)|sin x|
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15
Use the product-to-sum formulas to rewrite the product as a sum or difference.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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16
Use the sum-to-product formulas to rewrite the sum or difference as a product.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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17
Use the sum-to-product formulas to rewrite the sum or difference as a product.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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18
Use the half-angle formulas to simplify the expression.
A)- |cot x|
B)- |3 tan x|
C)- |3 tan 6x|
D)- |3 cot 3x|
E)- |cot 3x|
A)- |cot x|
B)- |3 tan x|
C)- |3 tan 6x|
D)- |3 cot 3x|
E)- |cot 3x|
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19
Use the figure to find the exact value of the trigonometric function.
Sec 2θ
A = 1, b = 8
A)
B)
C)
D)
E)
Sec 2θ
A = 1, b = 8
A)
B)
C)
D)
E)
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20
Use the figure to find the exact value of the trigonometric function.
Cot 2θ
A = 1, b = 6
A)
B)
C)
D)
E)
Cot 2θ
A = 1, b = 6
A)
B)
C)
D)
E)
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21
Convert the expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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22
Convert the expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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23
Find the exact solutions of the given equation in the interval [0, 2π).
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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24
The mach number M of an airplane is the ratio of its speed to the speed of sound.When an airplane travels faster than the speed of sound, the sound waves form a cone behind the airplane (see figure).The mach number is related to the apex angle θ of the cone by .
Rewrite the equation in terms of θ.
A)
B)
C)
D)
E)
. Rewrite the equation in terms of θ.
A)
B)
C)
D)
E)
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25
Convert the expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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26
Use the sum-to-product formulas to rewrite the sum or difference as a product.
Cos 3θ + cos 8θ
A)
B)
C)
D)
E)
Cos 3θ + cos 8θ
A)
B)
C)
D)
E)
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27
Use a double-angle formula to find the exact value of cos2u when
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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k this deck
28
When two railroad tracks merge, the overlapping portions of the tracks are in the shapes of circular arcs (see figure).The radius of each arc r (in feet) and the angle θ are related by
Write a formula for x in terms of cos θ.
A)
B)
C)
D)
E)
Write a formula for x in terms of cos θ.
A)
B)
C)
D)
E)
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29
Convert the expression.
A)2 cos b
B)cos 2b
C)cos b
D)2 cos 2b
E)4 cos b
A)2 cos b
B)cos 2b
C)cos b
D)2 cos 2b
E)4 cos b
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30
Find the exact solutions of the given equation in the interval [0, 2π).
A)
B)
C)
D)x = 0
E)
A)
B)
C)
D)x = 0
E)
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31
Use the sum-to-product formulas to rewrite the sum or difference as a product.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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k this deck
32
Use the figure below to determine the exact value of the given function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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33
Convert the expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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k this deck
34
Use the figure to find the exact value of the trigonometric function.
Cos 2β
A)
B)
C)
D)
E)
Cos 2β
A)
B)
C)
D)
E)
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35
Use the figure to find the exact value of the trigonometric function.
Sin 2α
A)
B)
C)
D)
E)
Sin 2α
A)
B)
C)
D)
E)
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36
Convert the expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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k this deck
37
Convert the expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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k this deck
38
Use the sum-to-product formulas to select the sum or difference as a product.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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k this deck
39
Use a double angle formula to rewrite the given expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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k this deck
40
Convert the expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock Deck
k this deck
41
The range of a projectile fired at an angle θ with the horizontal and with an initial velocity of v0 feet per second is where r is measured in feet.A golfer strikes a golf ball at 90 feet per second.Ignoring the effects of air resistance, at what angle must the golfer hit the ball so that it travels 150 feet? (Round your answer to the nearest degree.)
A)14°
B)36°
C)18°
D)27°
E)41°
where r is measured in feet.A golfer strikes a golf ball at 90 feet per second.Ignoring the effects of air resistance, at what angle must the golfer hit the ball so that it travels 150 feet? (Round your answer to the nearest degree.)A)14°
B)36°
C)18°
D)27°
E)41°
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42
Use the sum-to-product formulas to write the given expression as a product.
A)2 sin 4θ cos θ
B)-2 sin 4θ sin θ
C)-2 cos 4θ cos θ
D)2 cos 4θ sin θ
E)2 cos 4θ cos θ
A)2 sin 4θ cos θ
B)-2 sin 4θ sin θ
C)-2 cos 4θ cos θ
D)2 cos 4θ sin θ
E)2 cos 4θ cos θ
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43
Find all solutions of the given equation in the interval [0, 2π).
A)
B)
C)
D)
E)x = 0
A)
B)
C)
D)
E)x = 0
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44
Find the expression as the tangent of an angle.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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k this deck
45
Find the expression as the tangent of an angle.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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46
Use the figure below to find the exact value of the given trigonometric expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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47
Use the half-angle formulas to determine the exact value of the given trigonometric expression.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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48
Find the expression as the sine or cosine of an angle.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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k this deck
49
Find the expression as the tangent of an angle.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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k this deck
50
Use the half-angle formula to simplify the given expression.
A)cos |2x|
B)cos |8x|
C)cos |16x|
D)cos |32x|
E)cos |4x|
A)cos |2x|
B)cos |8x|
C)cos |16x|
D)cos |32x|
E)cos |4x|
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51
Simplify the expression algebraically.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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k this deck
52
Use the sum-to-product formulas to find the exact value of the given expression.
A)
B)1
C)
D)-1
E)0
A)
B)1
C)
D)-1
E)0
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53
Find the expression as the sine of an angle.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock Deck
k this deck
54
Find the expression as the sine or cosine of an angle.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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k this deck
55
Use the figure below to find the exact value of the given trigonometric expression. 10
24
(figure not necessarily to scale)
A)
B)
C)
D)
E)
1024
(figure not necessarily to scale)
A)
B)
C)
D)
E)
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56
Use the product-to-sum formula to write the given product as a sum or difference.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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k this deck
57
Find the expression as the cosine of an angle.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock Deck
k this deck
58
Find all solutions of the given equation in the interval [0, 2π).
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock Deck
k this deck
59
Find the expression as the sine of an angle.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock Deck
k this deck
60
Simplify the expression algebraically.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock Deck
k this deck
61
Use the formula , where , to rewrite the trigonometric expression in the form.
A)
B)
C)
D)
E)
, where , to rewrite the trigonometric expression in the form. A)
B)
C)
D)
E)
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k this deck
62
Simplify the expression algebraically.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock Deck
k this deck
63
Simplify the expression algebraically.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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k this deck
64
Simplify the expression algebraically.
A)
B)0
C)
D)1
E)6
A)
B)0
C)
D)1
E)6
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k this deck
65
Use the formula , where to rewrite the trigonometric expression in the following form.
A)
B)
C)7
D)3
E)3
, where to rewrite the trigonometric expression in the following form. A)
B)
C)7
D)3
E)3
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k this deck
66
A weight is attached to a spring suspended vertically from a ceiling.When a driving force is applied to the system, the weight moves vertically from its equilibrium position, and this motion is modeled by
Where y is the distance from equilibrium (in feet) and t is the time (in seconds).
Use the identity where , to write the model in the form .
A)
B)
C)
D)
E)
Where y is the distance from equilibrium (in feet) and t is the time (in seconds).
Use the identity
where , to write the model in the form .
A)
B)
C)
D)
E)
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67
Simplify the expression algebraically.
A)-
B)
C)
D)
E)
A)-
B)
C)
D)
E)
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k this deck
68
Use the formula , where to rewrite the trigonometric expression in the following form.
A)
B)
C)3
D)
E)
, where to rewrite the trigonometric expression in the following form. A)
B)
C)3
D)
E)
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k this deck
69
Use the formula , where , to rewrite the trigonometric expression in the following form.
A)
B)
C)
D)
E)
, where , to rewrite the trigonometric expression in the following form. A)
B)
C)
D)
E)
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Unlock Deck
k this deck
70
Use the formula , where to rewrite the trigonometric expression in the following form.
A)
B)9
C)9
D)
E)2
, where to rewrite the trigonometric expression in the following form. A)
B)9
C)9
D)
E)2
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71
Simplify the expression algebraically.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock Deck
k this deck
72
Simplify the expression algebraically.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock Deck
k this deck
73
Use the formula , where , to rewrite the trigonometric expression in the form 9
A)
B)
C)
D)
E)
, where , to rewrite the trigonometric expression in the form 9 A)
B)
C)
D)
E)
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Unlock Deck
k this deck
74
Use the formula , where , to rewrite the trigonometric expression in the following form.
A)
B)
C)
D)
E)
, where , to rewrite the trigonometric expression in the following form. A)
B)
C)
D)
E)
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k this deck
75
Use the formula , where to rewrite the trigonometric expression in the following form.
A)6
B)
C)
D)13
E)13
, where to rewrite the trigonometric expression in the following form. A)6
B)
C)
D)13
E)13
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k this deck
76
Use the formula , where , to rewrite the trigonometric expression in the following form.
A)2
B)
C)
D)2
E)8
, where , to rewrite the trigonometric expression in the following form. A)2
B)
C)
D)2
E)8
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k this deck
77
Use the formula , where , to rewrite the trigonometric expression in the following form.
A)
B)
C)
D)
E)
, where , to rewrite the trigonometric expression in the following form. A)
B)
C)
D)
E)
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Unlock Deck
k this deck
78
A weight is attached to a spring suspended vertically from a ceiling.When a driving force is applied to the system, the weight moves vertically from its equilibrium position, and this motion is modeled by where y is the distance from equilibrium (in feet) and t is the time (in seconds).
Find the amplitude of the oscillations of the weight.
A)
B)
C)
D)
E)
where y is the distance from equilibrium (in feet) and t is the time (in seconds).Find the amplitude of the oscillations of the weight.
A)
B)
C)
D)
E)
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79
Simplify the expression algebraically.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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80
Simplify the expression algebraically.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
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Unlock Deck
Unlock for access to all 266 flashcards in this deck.
