Free Printable Hunter: Trig Unit 4

1.

What is the period of y = 4Cos(2x)?

a)

4π

b)

π

c)

2π

d)

π/2

2.

The amplitude of y = -8sin(3x)+5...

a)

5

b)

3

c)

-8

d)

8

3.

a)

$period:\ 6\pi$

b)

$period:\ 3\pi$

c)

$period:\ 2\pi$

d)

$period:\ 8\pi$

4.

a)

$amp:\ 4$

b)

$amp:\ 2$

c)

$amp:\ 1$

d)

$amp:\ 0$

5.

Write the equation for a sine function with an amplitude of 6 and a period of $\frac{\pi}{4}$ .

a)

$y=6\sin8\theta$

b)

$y=6\sin8\left(\theta-1\right)$

c)

$y=6\sin\ \frac{1}{4}\theta$

d)

$y=6\sin\theta$

6.

a)

$y=4\sin\ \frac{\theta}{2}$

b)

$y=4\sin2\theta$

c)

$y=4\sin\theta$

d)

$y=4\sin3\theta$

7.

a)

$y=\cos\ \frac{\theta}{3}$

b)

$y=2\cos\ 3\theta$

c)

$y=\cos\ 3\theta$

d)

$y=\cos2\theta$

8.

what is the amplitude of
y = 3sin (7x) -2

a)

7

b)

-2

c)

3

d)

6

9.

5. 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

10.

6. What is the vertical shift for y = 4cos(¹/₂x +π) - 2?

a)

up 2

b)

left 2

c)

right 2

d)

down 2

11.

7. What is the phase shift for y = 4cos(¹/₂x +π) - 2?

a)

left pi/2

b)

right pi/2

c)

right 2pi

d)

left 2pi

12.

8. What is the period for y = 4cos(¹/₂x +π) - 2?

a)

pi/2

b)

pi

c)

3pi

d)

4pi

13.

9. What is the amplitude for y = 4cos(¹/₂x +π) - 2?

a)

2

b)

pi/2

c)

pi

d)

4

14.

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

15.

11. What is the equation of graph?

a)

y = sin 5x

b)

y = cos 5x

c)

y = 5 sin x

d)

y = 5 cos x

16.

12. What is the vertical shift?

a)

Down 1

b)

Down 5

c)

Down 3

d)

Down 4

17.

13. What is the equation of the graph?

a)

y = -2 cos x - 3

b)

y = 3 cos x - 2

c)

y = -7 cos x - 3

d)

y = -3 cos x - 4

18.

14. What is the amplitude of the graph?

a)

1

b)

3

c)

6

d)

9

19.

15. What is the amplitude and period of the function: y= 2/5sin9x

a)

Amplitude: 2/5 Period: 2π/9

b)

Amplitude: 2/5 Period: π/6

c)

Amplitude: 5/2 Period: 2π/9

d)

Amplitude: 5/2 Period: π/6

20.

Sine or Cosine?

a)

y=sinx

b)

y=cosx

21.

What is another name for a phase shift?

a)

Horizontal Dilation

b)

Horizontal Shift/Translation

c)

Vertical Dilation

d)

Vertical Shift/Translation

22.

What is the frequency of this function?

a)

1/4

b)

4

c)

2π

d)

1/2π

23.

1. Determine an equation for this graph:

a)

y=2csc(x)

b)

y=csc(x) + 1

c)

y=2csc(x) + 1

d)

y= csc(x) + 2

24.

2. Determine an equation for this graph:

a)

y=sec(x)

b)

y=2sec(x)

c)

y=2csc(x)

d)

y= csc(2x)

25.

3. Determine an equation for this graph:

a)

y=csc(x)

b)

y=sec(x)

c)

y=cot(x)

d)

y= tan(x)

26.

4. Determine an equation for this graph:

a)

y=csc(x)

b)

y=sec(x)

c)

y=cot(x)

d)

y= tan(x)

27.

5. 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

28.

6. What is the vertical shift for y = 4cos(¹/₂x +π) - 2?

a)

up 2

b)

left 2

c)

right 2

d)

down 2

29.

7. What is the phase shift for y = 4cos(¹/₂x +π) - 2?

a)

left pi/2

b)

right pi/2

c)

right 2pi

d)

left 2pi

30.

8. What is the period for y = 4cos(¹/₂x +π) - 2?

a)

pi/2

b)

pi

c)

3pi

d)

4pi

31.

9. What is the amplitude for y = 4cos(¹/₂x +π) - 2?

a)

2

b)

pi/2

c)

pi

d)

4

32.

12. What is the vertical shift?

a)

Down 1

b)

Down 5

c)

Down 3

d)

Down 4

33.

14. What is the amplitude of the graph?

a)

1

b)

3

c)

6

d)

9

34.

16. Which equation matches the graph?

a)

-tan(x-π/2)

b)

-tan(x+π/2)

c)

cot(x+π/2)

d)

-cot(x+π/2)

35.

sin^-1(-1/2)

a)

π/3

b)

π/6

c)

5π/6

d)

-π/6

36.

cos^-1(√(3)/2)

a)

π/3

b)

2π/3

c)

π/6

d)

5π/6

37.

csc(cos^-1(√(3)/2))

a)

2

b)

-2

c)

2√3/3

d)

-2√3/3

38.

sec^-1(-2)

a)

π/3

b)

2π/3

c)

π/6

d)

5π/6

39.

tan^-1(√(3))

a)

π/3

b)

2π/3

c)

π/6

d)

5π/6

40.

csc^-1(-√(2))

a)

π/4

b)

3π/4

c)

-π/4

d)

-3π/4

41.

cos^-1(tan(-π/4))

a)

0

b)

π

c)

π/4

d)

3π/4

42.

sin^-1(-1) =

a)

π/2

b)

0

c)

-1

d)

-π/2

43.

cos^-1(0) =

a)

π/2

b)

π

c)

1

d)

none of these

44.

sin(cos^-1(0))=

a)

0

b)

1

c)

π/2

d)

π

45.

sin^-1(√(2)/2) =

a)

π/4

b)

π/3

c)

π/2

d)

π

46.

tan(cos^-1(-1))=

a)

undefined

b)

0

c)

½

d)

1

47.

tan(sin^-1(1))=

a)

undefined

b)

0

c)

½

d)

1

48.

cos^-1(- √(3)/2) =

a)

π/3

b)

2π/3

c)

π/6

d)

5π/6

49.

$\tan^{-1}\left(-\ \ \sqrt[]{3}\right)$

a)

π

b)

-π/6

c)

-π/3

d)

-π/4

50.

cot(sin^-1(1/2))

a)

$\sqrt[]{3}$

b)

$\frac{\sqrt[]{3}}{3}$

c)

$-\ \ \sqrt[]{3}$

d)

$\frac{-\ \ \sqrt[]{3}}{3}$

51.

$\tan\left(\sin^{-1}\left(\frac{-1}{2}\right)\right)$

a)

$\sqrt[]{3}$

b)

$\frac{\sqrt[]{3}}{3}$

c)

$-\ \ \sqrt[]{3}$

d)

$\frac{-\ \ \sqrt[]{3}}{3}$

52.

What range of angles for inverse cosine?

a)

[0, π]

b)

[0, 2π]

c)

[-π/2, π/2]

d)

[π/2, 3π/2]

53.

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]

54.

What is the range of angles for inverse tangent?

a)

(0, π/2)

b)

(-π/2, π/2)

c)

(0, π)

d)

(0, 2π)

55.

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

a)

$\frac{\pi}{6}$

b)

$\frac{1}{2}$

c)

$60\degree$

d)

no solution

56.

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

a)

$\frac{\pi}{4}$

b)

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

c)

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

d)

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

57.

tan[arctan(10)]

a)

no solution

b)

-10

c)

$\frac{1}{10}$

d)

10

58.

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

a)

$\frac{\pi}{3}$

b)

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

c)

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

d)

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

59.

cos[arccos(-2)]

a)

-2

b)

no solution

c)

2

d)

$\frac{1}{2}$

60.

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

a)

$\frac{1}{2}$

b)

$\frac{\pi}{6}$

c)

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

d)

no solution

61.

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

a)

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

b)

$\frac{\pi}{3}$

c)

$\frac{1}{2}$

d)

no solution

62.

arctan[tan( $\frac{5\pi}{4}$ )]

a)

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

b)

$\frac{\pi}{4}$

c)

$\frac{5\pi}{4}$

d)

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

63.

cos[arccos( $\frac{1}{3}$ )]

a)

3

b)

$\frac{1}{3}$

c)

-3

d)

no solution

64.

sin[arcsin(0.11)]

a)

no solution

b)

11

c)

0.11

d)

-0.11

65.

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

a)

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

b)

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

c)

$\frac{\sqrt{3}}{2}$

d)

$\frac{\pi}{3}$

66.

arccos[cos( $\frac{11\pi}{6}$ )]

a)

$\frac{5\pi}{6}$

b)

$\frac{\pi}{6}$

c)

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

d)

$\frac{7\pi}{6}$

67.

arctan[tan( $\frac{2\pi}{3}$ )]

a)

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

b)

$\frac{\pi}{3}$

c)

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

d)

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

Hunter: Trig Unit 4

Total questions: 67

Worksheet time: 2hrs 11mins

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