Free Printable Exam 2 Review

1.

Convert 100⁰ to radians

a)

5π/9

b)

π/2

c)

5π/8

d)

5π/6

2.

What is $\frac{7\pi}{4}$ radians in degrees?

a)

$300^o$

b)

$135^o$

c)

$315^o$

d)

$45^o$

3.

Find the arc length of the bolded arc. Give your answer in terms of π.

a)

$\frac{65\pi}{12}$ cm

b)

17.02 cm

c)

$\frac{845\pi}{24}$ cm

d)

26π cm

4.

A ceiling fan has 18 inch blades and turns at a rate of 45 revolutions per minute. What is the angular speed in radians per hour?

a)

90π rad / hr

b)

2700π rad / hr

c)

5400π rad / hr

d)

97200π rad / hr

5.

Find a coterminal angle to -27°.

a)

-387°

b)

27°

c)

323°

d)

-393°

6.

In which quadrant would you find an angle measuring -740°

a)

1

b)

2

c)

3

d)

4

7.

In which quadrant would you find an angle measuring -700°?

a)

1

b)

2

c)

3

d)

4

8.

Which of the following is closest to the measure of the angle shown?

a)

30º

b)

40º

c)

395º

d)

440º

9.

What is the reference angle?

a)

163

b)

73

c)

27

d)

107

10.

If $\sin\theta\ =\frac{3}{5}$ and $\frac{\pi}{2}\le\theta\le\frac{3\pi}{2}$ , find $\cos\theta$

a)

$\frac{4}{5}$

b)

$-\frac{4}{5}$

c)

$\frac{3}{4}$

d)

$-\frac{3}{4}$

11.

$\tan\ 300\degree$ = ______

a)

$\frac{1}{\sqrt{3}}\ or\ \frac{\sqrt{3}}{3}$

b)

$-\ \frac{1}{\sqrt{3}}\ or\ \ -\frac{\sqrt{3}}{3}$

c)

$\sqrt{3}$

d)

$-\sqrt{3}$

12.

What is the reference angle for $\frac{2\pi}{3}$ .

a)

$\frac{\pi}{4}$

b)

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

c)

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

d)

$\frac{\pi}{3}$

13.

$\sin\ \frac{5\pi}{3}$ = _______

a)

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

b)

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

c)

$\frac{1}{2}$

d)

$-\frac{1}{2}$

14.

$\tan\ \frac{7\pi}{6}$ = _____

a)

$\frac{1}{\sqrt{3}}$

b)

$-\frac{1}{\sqrt{3}}$

c)

$\sqrt{3}$

d)

$-\sqrt{3}$

15.

\sin90\degree

= ______

a)

0

b)

1

c)

-1

d)

does not exist

16.

If θ is an angle in Quadrant IV, which trig ratios will be positive

a)

sin θ

b)

cos θ

c)

tan θ

d)

cos θ and tan θ

17.

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

a)

sine

b)

cosine

c)

tangent

d)

cotangent

18.

Find the ratio for sinA. (Reduce the fraction)

a)

36/27

b)

4/5

c)

36/45

d)

3/5

19.

What is the cosine of angle P?

a)

p/q

b)

q/r

c)

p/r

d)

r/q

20.

What is the length of y?

a)

$8\sqrt{2}$

b)

$4\sqrt{2}$

c)

4

d)

8

21.

A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree. The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse?

a)

7.5 ft

b)

15 ft

c)

26 ft

d)

30 ft

22.

Find the area of the sector, rounding your answer to 1d.p.

a)

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

b)

120 square centimeters

c)

$\frac{\pi}{3}$ square centimeters

d)

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

Exam 2 Review

Total questions: 22

Worksheet time: 39mins

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