Free Printable Ratios of Trigonometric Functions

1.

What is the radius of the unit circle?

a)

0

b)

1

c)

1/2

d)

√2/2

2.

At what point are sine and cosine the same value?

a)

0

b)

90

c)

45

d)

60

3.

What are the 3 basic trigonometric functions?

a)

Sine, cosine, and cotangent

b)

Sine, cotangent, and cosecant

c)

Sine, cosine, and tangent

d)

Cosecant, cosine, and cotangent

4.

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

5.

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

6.

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

7.

Which of the following is not the pair of angle $\theta$ and its corresponding reference angle, $\alpha$

a)

$\theta=206\degree\ ,\ \alpha=26\degree$

b)

$\theta=337\degree,\ \alpha=23\degree$

c)

$\theta=112\degree,\ \alpha=68\degree$

d)

$\theta=195\degree,\ \alpha=75\degree$

8.

The diagram below shows a unit circle. State the possible values of a and b.

a)

$a=0.9397,\ b=0.3420$

b)

$a=0.9397,\ b=-0.3420$

c)

$a=-0.9397,\ b=0.3420$

d)

$\alpha=-0.9397,\ b=-0.3420$

9.

What is the value of sine at 330°?

a)

1/2

b)

-1/2

c)

√3 / 2

d)

-√3 / 2

10.

What is the value of sine at 150°?

a)

0

b)

1/2

c)

1

d)

√3 / 2

11.

If I wanted to find the sine of an angle, what side lengths would I need to know?

a)

base, hypotenuse

b)

hypotenuse, adjacent

c)

opposite, hypotenuse

d)

adjacent, opposite

12.

The cosine of an angle can be calculated by which expression?

a)

$\frac{hypotenuse}{adjacent}$

b)

$\frac{opposite}{adjacent}$

c)

$\frac{adjacent}{hypotenuse}$

d)

$\frac{adjacent}{opposite}$

13.

$\tan\left(\theta\right)$ of an angle, $\theta$ can be expressed as which of the following?

a)

$\frac{opposite}{hypotenuse}$

b)

$\frac{opposite}{adjacent}$

c)

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

d)

$\frac{hypotenuse}{adjacent}$

14.

What is a complete circle in radians?

a)

π

b)

2π

c)

1/2 π

d)

1

15.

Choose the best match for the graph.

a)

30^o

b)

45^o

c)

60^o

d)

90^o

16.

Determine the value of tan 102° 38' based on the corresponding reference angle.

a)

- 4.4615

b)

4.4615

c)

-0.2187

d)

0.9758

17.

The diagram shows a unit circle and angle $\theta$ . Determine the value of sine $\theta$ .

a)

- 0.8387

b)

0.8387

c)

- 0.5446

d)

0.5446

18.

Diagram above shows a unit circle. Determine the value of tan $\theta$ .

a)

0.4695

b)

0.8829

c)

1.8805

d)

-1.8805

19.

What is the corresponding reference angle for 249° ?

a)

21°

b)

69°

c)

111°

d)

159°

20.

Which of the relationship between trigonometric functions with its corresponding reference angle is TRUE?

a)

sin 167° = - sin 13°

b)

cos 258 ° = cos 78°

c)

cos 127° = cos 53°

d)

tan 349° = - tan 11°

Ratios of Trigonometric Functions

Total questions: 20

Worksheet time: 2hrs 40mins

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