Free Printable Trig Values- special angles

1.

$\sin30\degree=$

a)

$\frac{1}{2}$

b)

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

c)

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

d)

$\sqrt{3}$

2.

$\cos60\degree=$

a)

$\frac{1}{2}$

b)

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

c)

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

d)

$\sqrt{3}$

3.

$\sin60\degree=$

a)

$\frac{1}{2}$

b)

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

c)

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

d)

$\sqrt{3}$

4.

$\cos30\degree=$

a)

$\frac{1}{2}$

b)

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

c)

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

d)

$\sqrt{3}$

5.

$\tan60\degree=$

a)

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

b)

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

c)

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

d)

$\sqrt{3}$

6.

$\tan45\degree=$

a)

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

b)

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

c)

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

d)

$1$

7.

What is the exact value of $\csc\ 60\degree$

a)

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

b)

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

c)

$\sqrt{2}$

d)

$\sqrt{3}$

8.

What is the value of y?

a)

$6$

b)

$2\sqrt{6}$

c)

$24$

d)

$24\sqrt{3}$

9.

Which of the following are the trigonometric special angles?

a)

$45^{\degree},\ 20^{\degree},\ 0^{\degree},\ 90^{\degree},\ 60^{\degree}$

b)

$50^{\degree},\ 20^{\degree},\ 0^{\degree},\ 80^{\degree},\ 60^{\degree}$

c)

$\ 0^{\degree},\ 90^{\degree},\ 60^{\degree},\ 35^{\degree},\ 45^{\degree}$

d)

$\ 0^{\degree},\ 90^{\degree},\ 60^{\degree},\ 30^{\degree},\ 45^{\degree}$

10.

Evaluate: $\cos0\degree+\sin90\degree$

a)

undefined

b)

0

c)

1

d)

2

11.

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

a)

y/r

b)

x/r

c)

r/y

d)

y/x

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.

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

a)

y/r

b)

x/r

c)

r/y

d)

y/x

14.

$\csc\left(\theta\right)=......$

a)

$\frac{1}{\sin\left(\theta\right)}$

b)

$\frac{1}{\cos\left(\theta\right)}$

c)

$\frac{1}{\tan\left(\theta\right)}$

d)

$\frac{1}{\cot\left(\theta\right)}$

15.

$\sec\left(\theta\right)=......$

a)

$\frac{1}{\sin\left(\theta\right)}$

b)

$\frac{1}{\cos\left(\theta\right)}$

c)

$\frac{1}{\tan\left(\theta\right)}$

d)

$\frac{1}{\cot\left(\theta\right)}$

16.

What are the negative and positive coterminal angles of 240 degrees?

a)

540°, -120°

b)

600°, -120°

c)

425°, -240°

d)

120°, -135°

17.

P(-3,4) is a terminal point of angle X in standard position. What is the value of sinX?

(a)

18.

CscX = 3. What does SinX = ?

(a)

19.

Find the exact value for cos $\left(\frac{5\pi}{6}\right)$

a)

-√3/2

b)

-¹/₂

c)

¹/₂

d)

-^√2/₂

20.

Solve for x.

a)

24.20

b)

290.4

c)

4.92

d)

29.75

21.

At what point are sine and cosine the same value?

a)

0

b)

90

c)

45

d)

60

22.

What is the value of sine at 330°?

a)

1/2

b)

-1/2

c)

√3 / 2

d)

-√3 / 2

23.

What is the value of sine at 150°?

a)

0

b)

1/2

c)

1

d)

√3 / 2

24.

tan(225°)=

a)

-1

b)

√2

c)

2√3/3

d)

1

25.

Find the measure of the angle that passes through (8, -2). (Remember to think about which quadrant it is in.)

a)

14^o

b)

-346^o

c)

346^o

d)

194^o

26.

Find the measure of the angle whose terminal side passes through (-4, 3). (Think about which quadrant it is in.)

a)

143.1^o

b)

46^o

c)

-143.1^o

d)

36.9^o

Trig Values- special angles

Total questions: 26

Worksheet time: 26mins

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