Free Printable Unit 4A Test Review

1.

What is 5π/6 radians in degrees?

a)

180

b)

150

c)

360

d)

120

2.

What is 7π/4 radians in degrees?

a)

300

b)

135

c)

315

d)

45

3.

What is 150 degrees in radians?

a)

5π/6

b)

7π/6

c)

5π/4

d)

π/6

4.

Convert -40^o into Radians

a)

-4π / 8

b)

-8π / 9

c)

-2π / 9

d)

-5π / 8

5.

Find a coterminal angle to 5°.

a)

365°

b)

255°

c)

-220°

d)

-365°

6.

Find a coterminal angle to -27°.

a)

-387°

b)

27°

c)

323°

d)

-393°

7.

What are the negative and positive coterminal angles of -225°?

a)

375°, -605°

b)

125°, -355°

c)

135°, -585°

d)

60°, -120°

8.

Which of the following angles are co-terminal to $\frac{7\pi}{4}$ ?

a)

$-\frac{7\pi}{4}$ , $\frac{14\pi}{5}$

b)

$-\frac{5\pi}{4}$ , $\frac{19\pi}{4}$

c)

$\frac{11\pi}{4}$ , $\frac{-3\pi}{4}$

d)

$\frac{-1\pi}{4}$ , $\frac{15\pi}{4}$

9.

Which of the following angles are co-terminal to $-\frac{\pi}{2}$ ?

a)

$\frac{3\pi}{2}$ , $\frac{-5\pi}{2}$

b)

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

c)

$\frac{5\pi}{2}$ , $\frac{-\pi}{2}$

d)

$\frac{5\pi}{2}$ , $-\frac{7\pi}{2}$

10.

Find the arc length. Leave your answer in terms of π.

a)

7/4π

b)

7/2π

c)

1/8π

d)

45π

11.

Find the length of the bold arc.Leave pi in your answer.

a)

5688π ft

b)

15.8π ft

c)

150.4π ft

d)

54,150 ft

12.

FIND THE ARC LENGTH OF THE BOLDED ARC

a)

A

b)

B

c)

C

d)

D

13.

Which one is the easy way to remember trigonometric ratios?

a)

Sah Coh Toa

b)

Soh Cah Toa

c)

Soh Cah Tao

d)

Soh Ceh Toa

14.

From ∠C, what side is AB?

a)

Adjacent

b)

Hypotenuse

c)

Opposite

15.

If you are given the two sides that are not the hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

16.

If you are given the opposite side and hypotenuse, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

17.

If you are given the hypotenuse and an adjacent side, which trig function should you use?

a)

sine

b)

cosine

c)

tangent

18.

a)

A

b)

B

c)

C

d)

D

19.

a)

A

b)

B

c)

C

d)

D

20.

Choose the correct ratio.

a)

cos(33)=x/14

b)

sin(33)=x/14

c)

cos(33)=14/x

d)

sin(33)=14/x

21.

Choose the correct ratio.

a)

sin(37)=x/14

b)

cos(37)=x/14

c)

tan(37)=x/14

d)

sin(37)=14/x

22.

Solve for the missing angle

a)

50

b)

0.053

c)

36.9

d)

95

23.

The reciprocal of sine is

a)

cosine or cos

b)

secant or sec

c)

cosecant or csc

d)

arcsin or $\sin^{-1}$

24.

The reciprocal of cosine is

a)

sine or sin

b)

secant or sec

c)

cosecant or csc

d)

arccos or $\cos^{-1}$

25.

The reciprocal of tangent is

a)

secant or sec

b)

cosecant or csc

c)

cotangent or cot

d)

arctan or $\tan^{-1}$

26.

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

a)

$\frac{1}{2}$

b)

$2$

c)

$-\frac{1}{2}$

d)

$-2$

27.

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

a)

$\frac{4}{5}$

b)

$-\frac{4}{5}$

c)

$-\frac{5}{4}$

d)

$\frac{5}{4}$

28.

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

a)

$-\frac{12}{5}$

b)

$\frac{12}{5}$

c)

$\frac{5}{12}$

d)

$-\frac{5}{12}$

29.

If $\sin\theta=\frac{1}{\sqrt{2}}$ , then $\csc\theta=$

a)

$\sqrt{2}$

b)

$\frac{1}{\sqrt{2}}$

c)

$-\sqrt{2}$

d)

$-\frac{1}{\sqrt{2}}$

30.

If $\cos\theta=-\frac{2}{\sqrt{3}}$ , then $\sec\theta=$

a)

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

b)

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

c)

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

d)

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

31.

If $\sin\theta=\frac{\sqrt{2}}{2}$ , then $\csc\theta=$

a)

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

b)

$\frac{2}{\sqrt{2}}\ which\ is\ \sqrt{2}$

c)

$-\frac{2}{\sqrt{2}}\ which\ is\ -\sqrt{2}$

d)

$-\frac{\sqrt{2}}{2}$

Unit 4A Test Review

Total questions: 31

Worksheet time: 1hrs 10mins

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