AnswersIC Pre-Cal - DeeringAngles and Trigonometric Functions

Angles and Trigonometric Functions Answers

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1
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Which equation can be used to prove 1 + tan2(x) = sec2(x)?

A
StartFraction cosine squared (x) Over secant squared (x) EndFraction + StartFraction sine squared (x) Over secant squared (x) EndFraction = StartFraction 1 Over secant squared (x) EndFraction
Option A
B
StartFraction cosine squared (x) Over sine squared (x) EndFraction + StartFraction sine squared (x) Over sine squared (x) EndFraction = StartFraction 1 Over tangent squared (x) EndFraction
Option B
C
StartFraction cosine squared (x) Over tangent squared (x) EndFraction + StartFraction sine squared (x) Over tangent squared (x) EndFraction = StartFraction 1 Over tangent squared (x) EndFraction
Option C
D
StartFraction cosine squared (x) Over cosine squared (x) EndFraction + StartFraction sine squared (x) Over cosine squared (x) EndFraction = StartFraction 1 Over cosine squared (x) EndFraction
Option D
2
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Suppose tan(x) = , and the terminal side of x is located in quadrant I. What is sin(x)?

Question illustration
A
StartFraction 2 Over StartRoot 13 EndRoot EndFraction
Option A
B
StartFraction 3 Over StartRoot 13 EndRoot EndFraction
Option B
C
Three-halves
Option C
D
StartFraction StartRoot 13 EndRoot Over 2 EndFraction
Option D
3

Which angle has a terminal side in quadrant III?

A
–192°
B
–88°
C
412°
D
579°
4

A waterwheel has a radius of 4 feet, and the center of the wheel is 1 foot under the waterline. You notice a yellow mark at the top of the wheel. If the wheel rotates radians, how far above the water is the yellow mark?

Question illustration
A
1 foot
B
2 feet
C
3 feet
D
4 feet
5

On which interval is y = sin(x) strictly increasing?

A
(Negative pi, negative StartFraction pi Over 2 EndFraction)
Option A
B
(0, pi)
Option B
C
(StartFraction pi Over 2 EndFraction, StartFraction 3 pi Over 2 EndFraction)
Option C
D
(0, StartFraction pi Over 2 EndFraction)
Option D

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