Free Printable Circle Trigonometric Ratios

1.

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

a)

y/r

b)

x/r

c)

r/y

d)

y/x

2.

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

a)

y/r

b)

x/r

c)

r/y

d)

y/x

3.

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

a)

y/r

b)

x/r

c)

r/y

d)

y/x

4.

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

5.

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

6.

Positive angles are measured in which direction from standard position?

a)

Clockwise

b)

Counterclockwise

7.

Negative angles are measured in which direction from standard position?

a)

Clockwise

b)

Counterclockwise

8.

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

a)

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

b)

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

c)

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

d)

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

9.

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

a)

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

b)

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

c)

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

d)

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

10.

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

a)

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

b)

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

c)

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

d)

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

11.

What is the reference angle for 125°?

a)

235°

b)

125°

c)

75°

d)

55°

12.

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

a)

540°, -120°

b)

600°, -120°

c)

425°, -240°

d)

120°, -135°

13.

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

(a)

14.

CscX = 3. What does SinX = ?

(a)

Circle Trigonometric Ratios

Total questions: 14

Worksheet time: 19mins

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