Free Printable Trigonometric Functions of Real Numbers

1.

What is the ratio for Sine?

a)

Hypotenuse/Opposite

b)

Opposite/Hypotenuse

c)

Opposite/Adjacent

d)

Adjacent/Opposite

2.

What quadrant does 21π/4 lie in?

a)

Quadrant 1

b)

Quadrant 2

c)

Quadrant 3

d)

Quadrant 4

3.

7π/6=?

a)

300°

b)

30°

c)

120°

d)

210°

4.

What radian measure corresponds to the point

a)

π/4

b)

3π/2

c)

5π/4

d)

7π/3

5.

a)

7π/6

b)

5π/6

c)

5π/6

d)

11π/6

6.

What is the terminal point for t = -5π ?

a)

(0, 1)

b)

(1, 0)

c)

(-1, 0)

d)

(0, -1)

7.

What quadrant does -11π/3 lie in?

a)

Quadrant 1

b)

Quadrant 2

c)

Quadrant 3

d)

Quadrant 4

8.

What is the terminal point for t = 13π/4 ?

a)

(−√2∕2, √2∕2)

b)

(−√2∕2, −√2∕2)

c)

(−√3∕2, −√2∕2)

d)

(√2∕2, −√2∕2)

9.

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

10.

What is the exact value of $\sin\left(\frac{7\pi}{6}\right)$ ?

a)

$\frac{1}{2}$

b)

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

c)

$-\frac{1}{2}$

d)

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

11.

What is the value of $\cos\left(\frac{5\pi}{3}\right)$ ?

a)

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

b)

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

c)

$-\frac{1}{2}$

d)

$\frac{1}{2}$

12.

If $\tan\theta>0$ , which quadrants could $\theta$ be in?

a)

Quadrant I and II

b)

Quadrant II and III

c)

Quadrant I and III

d)

Quadrant II and IV

e)

Quadrant III and IV

13.

What is the exact value of $\sin\left(\frac{13\pi}{6}\right)$ ?

a)

$\frac{1}{2}$

b)

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

c)

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

d)

$2$

14.

cos(180^o)

a)

0

b)

1

c)

-1

d)

1/2

15.

sin( $2\pi$ )

a)

0

b)

1

c)

-1

d)

not defined

16.

Select all that are equal to 1

a)

$\cos\left(2\pi\right)$

b)

$\sin\left(\frac{\pi}{2}\right)$

c)

$\sin\left(270^o\right)$

d)

$\tan\left(\frac{\pi}{4}\right)$

e)

$\cos\left(\pi\right)$

17.

The value of cos(-240⁰) is

a)

0.5

b)

-0.5

c)

-0.866

d)

-0.707

18.

What is the reference angle for 315°?

a)

30^o

b)

45^o

c)

60^o

d)

90^o

19.

If cos x = 1/2, find all possible values of x where 0^o<x<360^o.

a)

A. 60^oand 300^o

b)

B. 30^oand 150^o

c)

C. 30^oand 330^o

d)

D. 60^oand 120^o

20.

Solve
cosθ = - √(3)/2
on θ∈[0, 2π)

a)

θ = π /3, 2π /3

b)

θ = 2π /3, 4π /3

c)

θ = π /6, 5π /6

d)

θ = 5π /6, 7π /6

Trigonometric Functions of Real Numbers

Total questions: 20

Worksheet time: 20mins

Similar Resources on Wayground