AnswersIC Pre-Cal - DeeringAngles and Trigonometric Functions

Angles and Trigonometric Functions Answers

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1
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Which expression is equal to –1?

A
cot
Option A
B
sin
Option B
C
sin
Option C
D
tan
Option D
2
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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
3

A seat on a Ferris wheel is level with the center of the wheel. The diameter of the wheel is 210 feet (ft). If the wheel rotates 45° counterclockwise and stops, how much does the height of the seat change?

A
ft
Option A
B
ft
Option B
C
52.5 ft
D
26.25 ft
4

What is the minimum value of the graph of y = cos(x)?

A
–2
Option A
B
–
Option B
C
–1
D
0
5

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
6

Which represents an even function?

A
y = cos(x)
B
y = sin(x)
C
y = tan(x)
D
y = cot(x)
7

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
8

How many radians is 105°?

A
radians
Option A
B
radians
Option B
C
radians
Option C
D
radians
Option D
9

Suppose , where . What is sin(θ)?

Question illustration
A
Negative StartFraction 12 Over 13 EndFraction
Option A
B
Negative StartFraction 5 Over 13 EndFraction
Option B
C
StartFraction 5 Over 13 EndFraction
Option C
D
StartFraction 12 Over 13 EndFraction
Option D
10

In which quadrant(s) are tan(x) and sin(x) both negative?

A
quadrant II
B
quadrants II and III
C
quadrant IV
D
quadrants III and IV
11

Which angle is coterminal to radians?

Question illustration
A
radians
Option A
B
radians
Option B
C
radians
Option C
D
radians
Option D
12

How many degrees is radians?

Question illustration
A
–11.25°
B
–12.5°
C
–22.5°
D
–45°
13

Which expression has the same value as tan(–45°)?

A
tan(45°)
B
cot(135°)
C
–sin(270°)
D
–cos(180°)
14

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
15

Which angle has a terminal side in quadrant III?

A
–192°
B
–88°
C
412°
D
579°

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