Free Printable Unit Circle Trig

1.

sec 3π/2

a)

0

b)

undefined

c)

1

d)

-1

2.

sin 7π/6

a)

1/2

b)

-1/2

c)

√3/2

d)

-√3/2

3.

tan (-π)

a)

undefined

b)

0

c)

1

d)

-1

4.

What quadrant is -2π/3 in?

a)

I

b)

II

c)

III

d)

IV

5.

tanθ is positive in

a)

the 1st and 2nd quadrants

b)

the 1st and 3rd quadrants

c)

the 1st and 4th quadrants

d)

the 2nd and 3rd quadrants

6.

sin (π/2)

a)

√3/2

b)

√2/2

c)

1/2

d)

1

7.

cos (π/4)

a)

√3/2

b)

√2/2

c)

1/2

d)

1

8.

cos 0

a)

0

b)

-1

c)

1

d)

und

9.

What is a complete circle in radians?

a)

π

b)

2π

c)

1/2 π

d)

1

10.

*

a)

csc x

b)

sec x

c)

cot x

d)

tan x

11.

What is the exact coordinates of 3π/4 on the unit circle?

a)

(−√2∕2, √2∕2)

b)

(−√2∕2, −√2∕2)

c)

(−√3∕2, −√2∕2)

d)

(√2∕2, −√2∕2)

12.

Based on the unit circle, what is the value of tan?

a)

y/r

b)

x/r

c)

r/y

d)

y/x

13.

What is the radius of the unit circle?

a)

0

b)

1

c)

1/2

d)

√2/2

14.

True or False. All trig functions are positive in Quadrant IV.

a)

True

b)

False

15.

Name the angle that is coterminal to the angle indicated by the graph in both radians and degrees.

a)

$300\degree,\ \frac{5\pi}{3}$

b)

$315\degree,\ \frac{7\pi}{4}$

c)

$-60\degree,\ -\frac{\pi}{3}$

d)

$-300\degree,\ -\frac{5\pi}{3}$

16.

Name the angle indicated by the graph in both radians and degrees.

a)

$-135\degree,\ -\frac{3\pi}{4}$

b)

$225\degree,\ \frac{5\pi}{4}$

c)

$-120\degree,\ -\frac{2\pi}{3}$

d)

$210\degree,\ \frac{7\pi}{6}$

17.

Identify the Positive angle in both radians and degrees that represent point L.

a)

$240\degree,\ \frac{4\pi}{3}$

b)

$225\degree,\ \frac{5\pi}{4}$

c)

$-60\degree,\ -\frac{\pi}{3}$

d)

$270\degree,\ \frac{3\pi}{2}$

18.

Identify the Positive angle in both radians and degrees that represent point D.

a)

$60\degree,\ \frac{\pi}{3}$

b)

$45\degree,\ \frac{\pi}{4}$

c)

$-60\degree,\ -\frac{\pi}{3}$

d)

$90\degree,\ \frac{\pi}{2}$

19.

Identify the Positive angle in both radians and degrees that represent point H.

a)

$150\degree,\ \frac{5\pi}{6}$

b)

$135\degree,\ \frac{3\pi}{4}$

c)

$180\degree,\ \pi$

d)

$210\degree,\ \frac{7\pi}{6}$

20.

The sine of any angle on the unit circle is the y-coordinate.

a)

True

b)

False

21.

The cosine of any angle on the unit circle is the y-coordinate.

a)

True

b)

False

22.

When drawing a right triangle from any point on the unit circle to the x-axis, the hypotenuse is equal to one.

a)

True

b)

False

23.

The unit circle...

a)

Has center at (1,1)

b)

Has a circumference of 1

c)

Has a diameter of 1

d)

Has a radius of 1

24.

What is half a circle in radians?

a)

π/4

b)

π

c)

2π

d)

π/2

25.

4π/3 is equal to how many degrees?

a)

60°

b)

240°

c)

300°

d)

120°

26.

Tangent is...

a)

a. Opposite/hypotenuse

b)

b. sine/cosine

c)

c. neither a or b

d)

d. both a and b

27.

For what angles are sine and cosine the same?

a)

0^o

b)

45^oand 135⁰

c)

45^oand 225⁰

d)

45^oand 315⁰

28.

$\tan\ \left(-660\degree\right)$

a)

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

b)

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

c)

$\sqrt{3}$

d)

$-\sqrt{3}$

29.

$\tan\ \left(-660\degree\right)$

a)

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

b)

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

c)

$\sqrt{3}$

d)

$-\sqrt{3}$

30.

What trig functions make up the coordinates in the unit circle?

a)

cosine and sine

b)

only sine

c)

only cosine

d)

sine, cosine, and tangent

31.

How many degrees would be in one quadrant of a circle?

a)

$45\degree$

b)

$180\degree$

c)

$30\degree$

d)

$90\degree$

32.

Select ALL that apply: Which of the following is a point on the unit circle?

a)

(1, 1)

b)

(-1, 0)

c)

$\left(\frac{1}{2},\ 0\right)$

d)

$\left(\frac{\sqrt[]{2}}{2},\ \frac{\sqrt[]{2}}{2}\right)$

e)

$\left(\frac{-\sqrt[]{3}}{2},\ \frac{1}{2}\right)$

33.

What quadrant is $\frac{-2\pi}{3}$ in?

a)

I

b)

II

c)

III

d)

IV

34.

What is the exact coordinates of $\frac{3\pi}{4}$ on the unit circle?

a)

$\left(-\frac{\sqrt[]{2}}{2},\ \frac{\sqrt[]{2}}{2}\right)$

b)

$\left(-\frac{\sqrt[]{2}}{2},\ -\frac{\sqrt[]{2}}{2}\right)$

c)

$\left(-\frac{\sqrt[]{3}}{2},\ -\frac{\sqrt[]{2}}{2}\right)$

d)

$\left(\frac{\sqrt[]{2}}{2},\ -\frac{\sqrt[]{2}}{2}\right)$

35.

Evaluate the expression. $\cot\ \pi$

a)

$1$

b)

$0$

c)

$-1$

d)

undefined

36.

Evaluate the expression. $\tan\ \frac{\pi}{3}$

a)

$1$

b)

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

c)

$\sqrt[]{3}$

d)

$\frac{1}{2}$

37.

Based on the unit circle, what is the value of cos?

a)

y

b)

x

c)

x/y

d)

y/x

38.

Based on the unit circle, what is the value of sin?

a)

y

b)

x

c)

x/y

d)

y/x

39.

cosθ is positive in

a)

the 1st and 2nd quadrants

b)

the 1st and 3rd quadrants

c)

the 1st and 4th quadrants

d)

the 2nd and 3rd quadrants

40.

sinθ is positive in

a)

the 1st and 2nd quadrants

b)

the 1st and 3rd quadrants

c)

the 1st and 4th quadrants

d)

the 2nd and 3rd quadrants

41.

What radian measure corresponds to the point on the unit circle?

a)

π/4

b)

3π/2

c)

5π/4

d)

7π/3

Unit Circle Trig

Total questions: 41

Worksheet time: 1hrs 13mins

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