Free Printable A2TA Unit Circle Review W5D1

1.

Convert the following to radians:
720⁰

a)

3π

b)

4π

c)

5π

2.

Convert the following to degrees:
-8π/5 radians

a)

-288⁰

b)

-260⁰

c)

-275⁰

3.

Convert $\frac{9}{8}\pi$ to degrees

a)

$202.5\degree$

b)

$415\degree$

c)

$192.5\degree$

d)

$405\degree$

4.

Convert $138\degree$ to radians

a)

$\frac{23}{45}\pi$

b)

$\frac{23}{15}\pi$

c)

$\frac{23}{30}\pi$

d)

$\frac{23}{60}\pi$

5.

What is the reference angle of 330°?

a)

30°

b)

130°

c)

300°

d)

-30°

6.

Which of the following is the reference angle of $\frac{7\pi}{4}$ ?

a)

$\pi$

b)

$\frac{\pi}{4}$

c)

$\frac{\pi}{3}$

d)

$\frac{\pi}{6}$

7.

Check all the coterminal angle/s of 210°.

a)

-150°

b)

10°

c)

570°

d)

30°

8.

Find a coterminal angle to 45°.

a)

360°

b)

405°

c)

315°

d)

295°

9.

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

a)

(65/12)π cm

b)

17.02 cm

c)

(845/24)π cm

d)

26π cm

10.

The length of an arc is 18cm and the radius of the circle is 6cm. What is the radian measure of the central angle?

a)

3 radian

b)

2 radian

c)

4 radian

d)

2π radian

11.

cos(30^o)

a)

- ½

b)

√3/2

c)

2√3 /3

d)

½

12.

csc(π)

a)

0

b)

UND

c)

1

d)

-1

13.

sin(7π/6)

a)

- ½

b)

2√3 /3

c)

½

d)

-2√3 /3

14.

tan(300^o)

a)

-√3 /3

b)

½

c)

2√3 /3

d)

-√3

15.

cot(4π/3)

a)

- √3/2

b)

1

c)

-√3

d)

√3/3

16.

What quadrant is -2π/3 in?

a)

I

b)

II

c)

III

d)

IV

17.

Find the reference angle for

716\degree

a)

$4\degree$

b)

$86\degree$

c)

$94\degree$

d)

$176\degree$

18.

Given the quadrant of $\theta$ in standard position and a trig function value of $\theta$ , find exact values for the remaining functions.

Quadrant\ II,\ \sin\theta=\frac{3}{10}

a)

b)

c)

d)

19.

Given the quadrant of $\theta$ in standard position and a trig function value of $\theta$ , find exact values for the remaining functions.

Quadrant\ II,\ \sin\theta=\frac{3}{8}

a)

b)

c)

d)

A2TA Unit Circle Review W5D1

Total questions: 19

Worksheet time: 21mins

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