Free Printable Evaluate Trigonometric Functions using reference angles

1.

Evaluate: $\cos\ \frac{3\pi}{4}$

a)

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

b)

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

c)

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

d)

$\sqrt{2}$

2.

Evaluate: $\sin\ \frac{7\pi}{6}$

a)

$-\frac{1}{2}$

b)

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

c)

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

d)

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

3.

Evaluate: $\tan\frac{5\pi}{3}$

a)

$-\sqrt{3}$

b)

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

c)

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

d)

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

4.

Evaluate: $\cos\ \frac{7\pi}{4}$

a)

$\frac{1}{2}$

b)

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

c)

$\sqrt{2}$

d)

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

5.

What is the reference angle for 125°?

a)

235°

b)

125°

c)

75°

d)

55°

6.

What is the reference angle for -30°?

a)

150°

b)

30°

c)

80°

d)

60°

7.

$\cos\ \left(315^o\right)$

a)

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

b)

$\frac{1}{2}$

c)

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

d)

$-\frac{1}{2}$

8.

What is the reference angle?

a)

163

b)

73

c)

27

d)

107

9.

What is the reference angle?

a)

43

b)

-43

c)

47

d)

-47

10.

Which of the following is a correct representation of the reference angle of $\theta=210\degree$

a)

b)

c)

d)

11.

sin π/4

a)

√2∕2

b)

1/2

c)

√3/2

d)

0

12.

cos 5π/6

a)

-1/2

b)

1/2

c)

√3/2

d)

-√3/2

13.

sin 2π/3

a)

1/2

b)

-1/2

c)

√3/2

d)

-√3/2

14.

tan 270

a)

0

b)

1

c)

-1

d)

undefined

15.

Evaluate Cos (π)

a)

2

b)

1

c)

√2 / 2

d)

-1

Evaluate Trigonometric Functions using reference angles

Total questions: 15

Worksheet time: 1hrs 15mins

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