Free Printable Unit 8 Super Review

1.

The __________ represents half the distance between the max and min of a sine or cosine graph.

a)

Period

b)

Frequency

c)

Extreme Values

d)

Amplitude

2.

The period of a sine or cosine graph can be found by ....

a)

It's always 2π

b)

2π/B

c)

B(2π)

d)

2π+B

3.

Which value represents a vertical shift in the following function y=a*sin(bx - c)+d?

a)

a

b)

b

c)

c

d)

d

4.

Sine or Cosine?

a)

y=sinx

b)

y=cosx

5.

Sine or Cosine?

a)

y=sinx

b)

y=cosx

6.

What is the period of
y= -3sin(x)

a)

π

b)

2π

c)

3π

d)

4π

7.

What is the midline for
y=2cos(1/3x +π/6) +2

a)

1/3

b)

-2

c)

+2

d)

4

8.

What is the amplitude of y = 3 cos 2x?

a)

3

b)

2

c)

90
90⁰

d)

350⁰

9.

Where does the graph of y = cos x begin?

a)

(0,0)

b)

(0,1)

c)

(0, Pi)

d)

(1, Pi)

10.

What is the equation of the graph?

a)

y = 2 cos x

b)

y = sin x

c)

y = 2 sin x

d)

y = sin 2x

11.

What is the period
of
y = 3 sin 2x?

a)

2

b)

3

c)

180

d)

360

12.

Write the equation for a sine function with an amplitude of 6 and a period of π/4.

a)

y=6sin(8x)

b)

y=6sin8(x-1)

c)

y=6sin1/4x

d)

y=6sinx

13.

Write an equation for the cosine function with amplitude 3, period 2pi, phase shift of pi, and vertical shift of 5.

a)

y = 5cos(x - pi) + 3

b)

y = 3cos(x - pi) + 5

c)

y = 3cos(2x - pi) + 5

d)

y = 5cos(2x - pi) + 3

14.

The __________ represents the distance above or below the midline of a sine or cosine graph; we always take the absolute value of this height.

a)

Period

b)

Frequency

c)

Extreme Values

d)

Amplitude

15.

Which value helps identify a horizontal shift in the following function y=a*sin(bx-c)+d?

a)

a

b)

b

c)

c

d)

d

16.

Which value helps identify the period in the following function y=a*sin(bx-c)+d?

a)

a

b)

b

c)

c

d)

d

17.

What is the period of
y=cos(3x - π) - 5?

a)

π/3

b)

π/6

c)

2π/3

d)

2π/6

18.

What is the period of
y= -3sin(x)

a)

π

b)

2π

c)

3π

d)

4π

19.

What is the range of
y= -3sin(x)-2?

a)

[-2,2]

b)

[-5,1]

c)

[-4,2]

d)

[-3,3]

20.

What is the range of y=4cos(x -1)?

a)

[-1,1]

b)

[-2,2]

c)

[-3,5]

d)

[-4,4]

21.

What is the period of y=4cos(5x)

a)

2π/5

b)

π

c)

5π/2

d)

5π

22.

What does a negative A value cause?

a)

A negative amplitude

b)

A reflection across the Y axis

c)

No effect

d)

A reflection across X axis

23.

How many "key points" should be included in every cycle/period of a sine or cosine graph?

a)

As many as I want

b)

It depends on the graph

c)

4

d)

5

24.

What is the equation of graph?

a)

y = sin 5x

b)

y = cos 5x

c)

y = 5 sin x

d)

y = 5 cos x

25.

What is the period of the graph?

a)

2Pi

b)

Pi

c)

Pi/2

d)

Pi/4

26.

a)

A

b)

B

c)

C

d)

D

27.

a)

A

b)

B

c)

C

d)

D

28.

Which trig function does this graph represent?

a)

sin

b)

sec

c)

tan

d)

cot

29.

Determine the equation

a)

tan θ

b)

cot θ

c)

tan 2θ

d)

cot 2θ

30.

What is the period of the function y=tan(³/₄θ)

a)

^3π/₄

b)

^3π/₈

c)

^4π/₃

d)

^2π/₃

31.

Which function below matches this graph? $\ \ \$

a)

1/2tan(x)

b)

1/2cot(x)

c)

-1/2tan(x)

d)

Both 1/2cot(x+ Pi/2) and -1/2tan(x)

32.

Which function below matches this graph?

a)

sec2(x)

b)

sec(x)

c)

csc2(x)

d)

2-sec(x)

33.

Which function below matches this graph?

a)

cot(x)

b)

cot4(x)

c)

cot8(x)

d)

π/4cot(x)

34.

Which function below matches this graph?

a)

tan(x)

b)

-tan(x)

c)

sec(x)

d)

-sec(x)

35.

Which function below matches this graph?

a)

1-csc(x)

b)

csc(x)

c)

-csc(x)

d)

1+csc(x)

36.

Which function below matches this graph?

a)

2+sec(x)

b)

sec2(x)

c)

2sec(x)

d)

sec(x-2)

37.

Which function below matches this graph?

a)

tan(x-π/4)

b)

tan(x+π/4)

c)

cot(x)

d)

π/4cot(x)

38.

What is the equation of the graph?

a)

y = - 6 cos x - 1

b)

y = 3 cos x - 4

c)

y = -7 cos x

d)

y = -3 cos x - 4

39.

What is the equation for the graph shown.

a)

y = 4sinθ - 2

b)

y = 3tcosθ - 1

c)

y = 2tanθ - 4

d)

y = 2-4tanθ + 2

40.

What is the equation of the graph shown?

a)

y = tanθ/2

b)

y = tan2θ

c)

y = tanθ/4

d)

y = tan4θ

41.

What is the period of the equation shown?

a)

2π

b)

4π

c)

π / 2

d)

π

42.

What is the period of the equation shown?

a)

8π

b)

4π

c)

π / 4

d)

π / 2

43.

Describe the horizontal and vertical shifts.

a)

left π , up 4

b)

left π , down 3

c)

right π , up 4

d)

right π , down 3

44.

Which of the following parent functions do NOT have a period of $2\pi$ ?

a)

y = sin x

b)

y = tan x

c)

y = csc x

45.

Which parent functions include the point (0, 1)?

a)

sine and cosecant

b)

cosine and secant

c)

cosine, secant, and tangent

d)

sine, cosecant, and cotangent

46.

Select all that apply: Which parent functions have a period of

2\pi

?

a)

y=sinx

b)

y=cosx

c)

y=tanx

d)

y=cotx

e)

y=secx

47.

Secant is the reciprocal of what function?

a)

Cosecant

b)

Sine

c)

Cosine

d)

Tangent

48.

Which trig function is graphed?

a)

y=secx

b)

y=cscx

c)

y=tanx

d)

y=sinx

e)

y=cosx

49.

Which parent function is graphed?

a)

y=tanx

b)

y=cotx

c)

y=sinx

d)

$y=\tan^{-1}x$

e)

y=cosx

50.

Which functions have asymptotes? Select all that apply.

a)

y=sinx

b)

y=cscx

c)

y=cotx

d)

y=secx

e)

y=cosx

51.

Select all that apply to

y=\tan\theta

a)

"increases" the entire domain

b)

"decreases" the entire domain

c)

x-intercept at the origin

d)

asymptote at x = 0

52.

This is the equation of which graph?

a)

y= cot x

b)

y = tan x

c)

y = cot^-1 x

d)

y = tan^-1x

e)

y=cscx

53.

Which parent functions include the point (0, 0)?

a)

sine and cosecant

b)

cosine and secant

c)

cosine, secant, and cotangent

d)

sine and tangent

54.

What is the range of y = sin x ?

a)

{-1 < y < 1}

b)

{-1 ≤ y ≤ 1}

c)

{-1 < x < 1}

d)

{-1 ≤ x ≤ 1}

55.

What is the amplitude of the function
f(x) = -3cos x ?

a)

-3

b)

3

c)

6

d)

-6

56.

What is the period of g(x) = sin x + 5 ?

a)

185°

b)

365°

c)

180°

d)

360°

57.

In the graph shown, what is the value of A if the graph is of the function
f(x) = A sin (Bx) + D

a)

-2

b)

2.5

c)

3

d)

-3.5

58.

In the graph shown, what is the value of B if the graph is of the function
f(x) = A sin (Bx) + D

a)

1

b)

2

c)

3

d)

-1

59.

In the graph shown, what is the value of D if the graph is of the function
f(x) = A sin (Bx) + D

a)

1

b)

0.5

c)

-0.5

d)

-2

60.

The value of sin 30° is ...

a)

0

b)

½

c)

½√3

d)

½√2

61.

The value of cos 60° is ...

a)

0

b)

½

c)

½√3

d)

½√2

62.

The value of cos 90° is ...

a)

0

b)

½

c)

½√3

d)

½√2

63.

a)

y = sin x

b)

y = cos x

c)

y = arcsin x

d)

y = arccos x

64.

a)

y = sin x

b)

y = cos x

c)

y = arcsin x

d)

y = arccos x

65.

a)

y = tan x

b)

y = cot x

c)

y = arc tan x

d)

y = arc cot x

66.

a)

y = tan x

b)

y = cot x

c)

y = arc tan x

d)

y = arc cot x

67.

a)

y = tan x

b)

y = cot x

c)

y = arc tan x

d)

y = arc cot x

68.

a)

y = tan x

b)

y = cot x

c)

y = arc tan x

d)

y = arc cot x

69.

a)

y = cos(x)

b)

y = cos(x-pi)

c)

y = cos( x -pi/2)

d)

y = cos( x + pi/2)

70.

a)

y = sin(x)

b)

y = sin(x - pi/2)

c)

y = -sin(x - pi/2)

d)

y = - sin(x + pi/2)

71.

Evaluate the function: arcsin(-1/2)

a)

π/3

b)

π/6

c)

5π/6

d)

-π/6

72.

Evaluate: cos^-1(√3/2)

a)

π/3

b)

2π/3

c)

π/6

d)

5π/6

73.

Evaluate: Csc^-1(-√2)

a)

π/4

b)

3π/4

c)

-π/4

d)

-3π/4

74.

Evaluate: Cot^-1(√3/3)

a)

π/3

b)

2π/3

c)

π/6

d)

5π/6

75.

sec^-1(-2)

a)

π/3

b)

2π/3

c)

π/6

d)

5π/6

76.

cos^-1(0) =

a)

½π

b)

π

c)

1

d)

none of these

77.

What range of angles for inverse cosine?

a)

[0, π]

b)

[0, 2π]

c)

[-π/2, π/2]

d)

[π/2, 3π/2]

78.

What is the range of angles for inverse sine?

a)

[0, π]

b)

[0, 2π]

c)

[-π/2, π/2]

d)

[π/2, 3π/2]

79.

Find x.

a)

5π/3

b)

2π/3

c)

-π/3

d)

-π/6

80.

Find x.

a)

5π/6

b)

11π/6

c)

-π/3

d)

-π/6

81.

Find x.

a)

3π/4

b)

π/4

c)

-π/4

d)

7π/4

82.

Find x.

a)

π/3

b)

5π/6

c)

2π/3

d)

-π/3

83.

Find x.

a)

π/3

b)

π/6

c)

2π/3

d)

-π/3

84.

Find x.

a)

π/2

b)

-π/2

c)

π/4

d)

π/6

85.

Find x.

a)

-π/3

b)

-4π/3

c)

5π/6

d)

2π/3

86.

Find x.

a)

4π/3

b)

2π/3

c)

5π/3

d)

-π/3

87.

a)

pi/2

b)

-pi/2

c)

pi/4

d)

-3pi/2

88.

What is the amplitude of the graph?

a)

1

b)

3

c)

6

d)

9

89.

What is the equation of this graph?

a)

y=cos2x

b)

y=2sin2x

c)

y=2cos2x

d)

y=2sinx

90.

What is an equation of the graph shown?

a)

y=cos1/2x

b)

y=cos2x

c)

y=sin 1/2 x

d)

y=sin2x

91.

What is the period?

a)

4π

b)

2π

c)

π

d)

8π

92.

a)

y = sin x

b)

y = cos x

c)

y = arcsin x

d)

y = arccos x

93.

a)

y = sin x

b)

y = cos x

c)

y = arcsin x

d)

y = arccos x

94.

a)

y = tan x

b)

y = cot x

c)

y = arc tan x

d)

y = arc cot x

95.

a)

y = tan x

b)

y = cot x

c)

y = arc tan x

d)

y = arc cot x

96.

a)

y = tan x

b)

y = cot x

c)

y = arc tan x

d)

y = arc cot x

97.

a)

y = tan x

b)

y = cot x

c)

y = arc tan x

d)

y = arc cot x

98.

The __________ represents half the distance between the max and min of a sine or cosine graph.

a)

Period

b)

Frequency

c)

Extreme Values

d)

Amplitude

99.

Phase shift means ...

a)

An up or down movement

b)

A left or right movement

c)

Height of graph

d)

...set Phasers to stun

100.

What is the domain and range of y=sinx?

a)

D: (-∞, ∞)
R: [-1, 1]

b)

D: (-∞, ∞)
R: [-π, π]

c)

D: (∞, -∞)
R: [-1, 1]

d)

D: (-∞, ∞)
R: [-∞, ∞]

101.

What is the amplitude of the graph?

a)

-2

b)

2

c)

4

d)

-4

102.

What is the amplitude of this function?

a)

2

b)

2π

c)

-2

d)

1

103.

What is the period?

a)

π/4

b)

π/2

c)

3π/4

d)

π

104.

What is the period of y=4cos5x

a)

2π/5

b)

π

c)

5

d)

5π

105.

sin^-1(-1/2)

a)

π/3

b)

π/6

c)

5π/6

d)

-π/6

106.

cos^-1(√(3)/2)

a)

π/3

b)

2π/3

c)

π/6

d)

5π/6

107.

sec^-1(-2)

a)

π/3

b)

2π/3

c)

π/6

d)

5π/6

108.

What is csc(x) equivalent to?

a)

1/sin(x)

b)

1/tan(x)

c)

sin(x)

d)

1/cos(x)

109.

Please select the correct solution

a)

csc x

b)

sec x

c)

cot x

d)

tan x

110.

Evaluate: arctan(1)

a)

π/6

b)

π/4

c)

π/3

d)

π/2

111.

Evaluate: arccos(-√3/2)

a)

-π/6

b)

-π/3

c)

2π/3

d)

5π/6

112.

Evaluate: sin^-1(-√2/2)

a)

-π/4

b)

3π/4

c)

5π/4

d)

7π/4

113.

Evaluate: arccos(0)

a)

0

b)

π/2

c)

3π/2

d)

2π

114.

Evaluate: sin^-1(cos π/3)

a)

π/6

b)

π/3

c)

1/2

d)

√3/2

115.

What range of angles can you get from inverse sine?

a)

0 to π

b)

0 to 2π

c)

-π/2 to π/2

d)

π/2 to 3 π/2

116.

What range of angles can you get from inverse cosine?

a)

0 to π

b)

0 to 2π

c)

-π/2 to π/2

d)

π/2 to 3 π/2

117.

Evaluate: sin^-1(sin π/4)

a)

√2

b)

√2/2

c)

4/π

d)

π/4

118.

sin^-1[cosπ]

a)

0

b)

π

c)

π/2

d)

-π/2

119.

What is tan[sin^-1(1)]?

a)

undefined

b)

0

c)

½

d)

1

120.

arccos(cos 5π/4)

a)

3π/4

b)

2π/3

c)

5π/4

d)

-4π/5

121.

Evaluate: Tan[Csc^-1(-√2)]

a)

√2/2

b)

-1

c)

-√2/2

d)

1

122.

State the range of

y = 3 csc x + 1.

a)

b)

c)

d)

123.

Which of the following expressions would represent ALL of the asymptotes of the graph of

y=3\csc\left(\frac{1}{2}x\right)

?

a)

$x=2\pi n$

b)

$x=0,\ x\ =2\pi$

c)

$y\ =\ 0$

d)

$x\ =\ \frac{\pi}{2}n$

124.

sin^-1(-1/2) (Make sure you are working with radians when using Desmos graphing calculator remember pi=3.14)

a)

π/3

b)

π/6

c)

5π/6

d)

-π/6

125.

$\cos^{-1}\left(0\right)$ (Make sure you are working with radians when using Desmos graphing calculator remember pi=3.14)

a)

$0$

b)

$\frac{\pi}{2}$

c)

$\pi$

d)

undefined

126.

$Solve\sin⁡x=1\ for\ 0≤x≤360°\$ (Make sure you are working with degrees when using Desmos graphing calculator)

a)

90

b)

270

c)

0

d)

180

127.

$Solve\cos⁡x=-\frac{1}{2}\ for\ 0≤x≤360°$ (Make sure you are working with degrees when using Desmos graphing calculator)

a)

120, 240

b)

120, 60

c)

60, 300

d)

240, 300

128.

What is the period of the equation shown?

a)

3π

b)

2π

c)

3π / 2

d)

2π / 3

129.

What is the period of the equation shown?

a)

8π

b)

4π

c)

π / 4

d)

π / 2

130.

Describe the horizontal shift.

a)

left 3π / 4

b)

left 4π / 3

c)

right 3π

d)

right 3π / 4

131.

What is the equation of the graph shown?

a)

y = 2sin(θ + π/2) + 3

b)

y = 3cos(θ - π/2) + 2

c)

y = 3sin(θ - π/2) + 2

d)

y = 2cos(θ + π/2) + 3

132.

Name the graph

a)

y = sin^-1x

b)

y = Sin^-1x

c)

y = Sin x

d)

y = sin x

133.

Name the graph

a)

y = cos x

b)

y = Cos x

c)

y = cos^-1 x

d)

y = Cos^-1x

134.

Name the graph

a)

y = Tan x

b)

y = Tan^-1x

c)

y = tan x

d)

y = tan^-1x

135.

The frequency of a sine or cosine graph can be found by ....

a)

It's always 2π

b)

$\frac{2\pi}{B}$

c)

B(2π)

d)

2π+B

e)

$\frac{B}{2\pi}$

136.

Describe the transformation of y = cosx in the equation shown.

a)

Horizontal stretch: 1/3 of the cosine graph spans from 0 to 2pi

b)

Horizontal compression: 3 cosine graphs span from 0 to 2 pi

137.

Describe the transformation of y = cosx in the equation shown.

a)

Vertical Shift Up 1

b)

Vertical Shift Down 1

138.

What is the equation of the blue graph?

a)

y = 2sin x

b)

y = sin(2x)

c)

y = sin(x + 2)

d)

y = sin x - 2

139.

What transformation is shown?

a)

Stretch of 4

b)

Shrink of 4

c)

Left 4

d)

4 waves in 0 - 2π

140.

What is the equation of the blue graph?

a)

y = 4sin x

b)

y = sin(4x)

c)

y = sin(x + 4)

d)

y = sin x + 4

141.

What is the equation of the blue graph?

a)

y = sin(x + π)

b)

y = sin x - π

c)

y = πsin x

d)

y = sin(πx)

142.

What transformation is shown?

a)

1/4 of the graph shown in 0 - 2π

b)

1/2 of the graph shown in 0 - 2π

c)

3/4 of the graph shown in 0 - 2π

d)

1/8 of the graph shown in 0 - 2π

143.

Which of the following functions has a maximum value of 25?

a)

$y=25\sin x+12$

b)

$y=-10\cos x+35$

c)

$y=8\cos x+17$

d)

$y=5\sin x+15$

144.

If the period of a sinusoidal function is equal to 18, which of the following gives its frequency?

a)

$\frac{\pi}{9}$

b)

$18\pi$

c)

$\frac{\pi}{18}$

d)

$6\pi$

145.

When the period of a sine function doubles, the frequency

a)

doubles

b)

increases by 2

c)

halves

d)

decreases by 2

146.

The brightness of the star MIRA over time is given by the equation $y=2\sin\ \frac{\pi}{4}x+6$ , where x represents time and y represents brightness. What is the period of this function, in radian measure

a)

$\frac{\pi}{4}$

b)

8

c)

$8\pi$

d)

4

147.

A sine function increasing through the origin can be used to model light waves. Violet light has a wavelength of 400 nanometers. Over which interval is the height of the wave decreasing, only?

a)

(0,200)

b)

(100,300)

c)

(200,400)

d)

(300,400)

148.

Which statement is incorrect for the graph of the function $y=-3\cos\left(\frac{\pi}{3}\left(x-4\right)\right)+7$ ?

a)

The period is 6

b)

The amplitude is 3.

c)

The range is [4,10].

d)

The midline is y = -4.

149.

Which of the following lines when drawn would not intersect the graph of $y=6\sin x$ ?

a)

x=8

b)

x=3

c)

y=-4

d)

y=9

150.

Which bold line segment correctly identifies $\sin\ \frac{5\pi}{6}$ ?

a)

b)

c)

d)

151.

The path traveled by a roller coaster is modeled by the equation $y=27\sin13x+30$ . What is the maximum altitude of the roller coaster?

a)

13

b)

27

c)

30

d)

57

152.

Given the parent function $p\left(x\right)=\cos x$ , which phrase best describes the transformation used to obtain the graph of $g\left(x\right)=\cos\left(x+a\right)-b$ , if a and b are positive constants?

a)

right a units, up b units

b)

left a units, up b units

c)

right a units, down b units

d)

left a units, down b units

153.

The graph shown incorrectly represents the equation $y=2\cos x$ . What is a mathematical explanation of why this graph is incorrect?

a)

This is a sine curve and not a cosine curve

b)

The amplitude is incorrect

c)

The frequency is incorrect

d)

It should be reflected over the x-axis

154.

The graphs below show the average annual precipitation received at different latitudes on Earth. Which graph is a translated cosine curve?

a)

b)

c)

d)

155.

What are the amplitude and the period of the graph represented by the equation $y=-3\cos\ \frac{\theta}{3}$ ?

a)

amplitude: -3 ; period: $\frac{\pi}{3}$

b)

amplitude: -3; period: $6\pi$

c)

amplitude: 3; period: $\frac{\pi}{3}$

d)

amplitude: 3; period: $6\pi$

156.

Tides are a periodic rise and fall of ocean water. On a typical day at a seaport, to predict the time of the next high tide, the most important value to have would be the

a)

time between consecutive low tides

b)

time when the tide height is 20 feet

c)

average depth of water over a 24-hour period

d)

difference between the water heights at low and high tide

157.

The average monthly temperature of a city can be modeled by a cosine graph. Melissa has been living in Phoenix, Arizona, where the average annual temperature is 75°F. She would like to move, and live in a location where the average annual temperature is 62°F. When examining the graphs of the average monthly temperatures for various locations, Melissa should focus on the

a)

amplitude

b)

horizontal shift

c)

period

d)

midline

158.

The graph of which equation has amplitude 2 and period $\pi$ ?

a)

$y=2\cos2x$

b)

$y=\frac{1}{2}\sin2x$

c)

$y=2\sin x$

d)

$y=2\cos\ \frac{1}{2}x$

159.

How could transform sin x into cos x?

a)

sin (x +90°) = cos x

b)

sin (x –90°) = cos x

c)

sin (x +180°) = cos x

d)

sin (x –180°) = cos x

160.

What is the period in the function
-3 sin 2(x – 40°) + 7
?

a)

720°

b)

360°

c)

180°

d)

120°

161.

What is the vertical shift?

a)

$2$

b)

$4$

c)

$-2$

d)

$-6$

162.

What is the amplitude?

a)

$6$

b)

$5$

c)

$1$

d)

$-4$

163.

Write the equation for a sine function with an amplitude of 6 and a period of π/4.

a)

y=6sin(8x)

b)

y=6sin8(x-1)

c)

y=6sin1/4x

d)

y=6sinx

164.

What is the equation of the graph?

a)

y = - 6 cos x - 1

b)

y = 3 cos x - 4

c)

y = -7 cos x

d)

y = -3 cos x - 4

165.

The function f(x) = acos bx + c is plotted on the graph shown below.

What are the values of a, b, and c?

a)

a = 2, b = 6, c = 3

b)

a = 2, b = 3, c = 1

c)

a = 4, b = 6, c = 5

d)

a = 4, b = $\frac{\pi}{3}$ , c =3

166.

a)

A

b)

B

c)

C

d)

D

167.

a)

A

b)

B

c)

C

d)

D

168.

a)

A

b)

B

c)

C

d)

D

169.

a)

A

b)

B

c)

C

d)

D

170.

a)

0

b)

π/2

c)

2π

d)

3π

171.

a)

-π/3

b)

4π/3

c)

-2π/3

d)

2π/3

172.

a)

3π/4

b)

π/4

c)

5π/4

d)

-3π/4

173.

a)

π/2

b)

π

c)

3π/2

d)

-3π/2

174.

a)

π/6

b)

5π/6

c)

7π/6

d)

2π

175.

What is tan[arccos(-1)]?

a)

undefined

b)

0

c)

½

d)

1

176.

Evaluate the function: tan[sin^-1(-1/2)]

a)

√3

b)

√3/3

c)

-√3

d)

-√3/3

177.

cos^-1[tan(-π/4)] =

a)

0

b)

π

c)

π/4

d)

3π/4

178.

What is the RANGE of angles for inverse sine?

a)

[0, π]

b)

[-1, 1]

c)

[-π/2, π/2]

d)

(-∞, ∞)

179.

What RANGE of angles for inverse cosine?

a)

[0, π]

b)

(-∞, ∞)

c)

[-π/2, π/2]

d)

[-1, 1]

180.

What is the RANGE of angles for inverse tangent?

a)

[-π/2, π/2]

b)

(-π/2, π/2)

c)

[0, π]

d)

(-∞, ∞)

181.

Use your calculator to find the following angles whose trigonometric functions are given. Give your answer to the nearest tenths.

tan A = 1.23

(a)

182.

Use your calculator to find the following angles whose trigonometric functions are given. Give your answer to the nearest tenths.

sin C = 0.78

(a)

183.

Use your calculator to find the following angles whose trigonometric functions are given. Give your answer to the nearest tenths.

tan B = 2.56

(a)

184.

Use your calculator to find the following angles whose trigonometric functions are given. Give your answer to the nearest tenths.

sin D = 0.527

(a)

185.

sin[arcsin( $\frac{1}{2}$ )]

a)

$\frac{\pi}{6}$

b)

$\frac{1}{2}$

c)

$60\degree$

d)

no solution

186.

arccos[cos( $\frac{7\pi}{4}$ )]

a)

$\frac{\pi}{4}$

b)

$-\frac{\pi}{4}$

c)

$\frac{7\pi}{4}$

d)

$\frac{3\pi}{4}$

187.

tan[arctan(10)]

a)

no solution

b)

-10

c)

$\frac{1}{10}$

d)

10

188.

arcsin[sin( $\frac{4\pi}{3}$ )]

a)

$\frac{\pi}{3}$

b)

$-\frac{\pi}{3}$

c)

$\frac{4\pi}{3}$

d)

$\frac{5\pi}{3}$

189.

arccos[cos( $\frac{2\pi}{3}$ )]

a)

$\frac{2\pi}{3}$

b)

$\frac{\pi}{3}$

c)

$\frac{1}{2}$

d)

no solution

190.

arccos[cos( $\frac{2\pi}{3}$ )]

a)

$\frac{2\pi}{3}$

b)

$\frac{\pi}{3}$

c)

$\frac{1}{2}$

d)

no solution

191.

arcsin[sin( $\frac{\pi}{6}$ )]

a)

$\frac{1}{2}$

b)

$\frac{\pi}{6}$

c)

$-\frac{\pi}{6}$

d)

no solution

192.

sin[arcsin(0.11)]

a)

no solution

b)

11

c)

0.11

d)

-0.11

193.

The reciprocal of tangent is

a)

secant or sec

b)

cosecant or csc

c)

cotangent or cot

d)

arctan or $\tan^{-1}$

194.

The reciprocal of cosine is

a)

sine or sin

b)

secant or sec

c)

cosecant or csc

d)

arccos or $\cos^{-1}$

195.

The reciprocal of sine is

a)

cosine or cos

b)

secant or sec

c)

cosecant or csc

d)

arcsin or $\sin^{-1}$

196.

If $\cos60\degree\ =\ \frac{1}{2}$ , then $\sec60\degree$ =

a)

$\frac{1}{2}$

b)

$2$

c)

$-\frac{1}{2}$

d)

$-2$

197.

If $\sin\theta=\frac{4}{5}$ , then $\csc\theta=$

a)

$\frac{4}{5}$

b)

$-\frac{4}{5}$

c)

$-\frac{5}{4}$

d)

$\frac{5}{4}$

198.

If $\tan\theta=\frac{12}{5}$ , then $\cot\theta=$

a)

$-\frac{12}{5}$

b)

$\frac{12}{5}$

c)

$\frac{5}{12}$

d)

$-\frac{5}{12}$

199.

Phase shift means ...

a)

An up or down movement

b)

A left or right movement

c)

Height of graph

d)

...set Phasers to stun

200.

3. Determine an equation for this graph:

a)

y=csc(x)

b)

y=sec(x)

c)

y=cot(x)

d)

y= tan(x)

201.

Select the cosine graph.

a)

b)

c)

202.

Select the sine graph.

a)

b)

c)

203.

Choose all correct answers: Which trig graphs have asymptotes at π/2, 3π/2, 5π/2...?

a)

y = tan x

b)

y = csc x

c)

y = sec x

d)

y = sin x

204.

Which trig graphs have a range of [-1, 1] ? Choose ALL that apply.

a)

y = cos x

b)

y = sin x

c)

y = csc x

d)

y = sec x

205.

Which trig graphs have a range of (-∞, ∞) ? Choose ALL that apply.

a)

y = csc x

b)

y = cot x

c)

y = tan x

d)

y = sec x

206.

Why does the graph of y = sec x contain asymptotes?

a)

Because sec x is the reciprocal of cos x and when cos x is zero the reciprocal is undefined.

b)

Because the graph is undefined whenever sec x and cos x are equivalent.

c)

Because sec x can never have a value less than one.

d)

Because sec x has the same asymptotes as cot x.

207.

Which trig graphs go through the point (π/2, 0) ?

a)

y = cos x

b)

y = cot x

c)

y = sin x

d)

y = tan x

208.

What is the period for the graphs of y = tan x and y = cot x?

a)

π/2

b)

π

c)

2π

d)

3π/2

209.

Select the tangent graph.

a)

b)

c)

Unit 8 Super Review

Total questions: 209

Worksheet time: 8hrs 53mins