Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Trigonometry

Total questions: 17

Worksheet time: 1hrs 25mins

Name
Class
Date
1.

Transforme π5\frac{\pi}{5}  in degrees.

a)

30°30\degree  

b)

40°40\degree  

c)

36°36\degree  

d)

90°90\degree  

e)

45°45\degree  

2.

Transform 144°144\degree   in radians, give your answer in a multiple of π\pi  

a)

π5\frac{\pi}{5}  

b)

45\frac{4}{5}  

c)

π\pi  

d)

4π5\frac{4\pi}{5}  

e)

π144\frac{\pi}{144}  

3.

Transform 192°192\degree  in  radians. 

a)

3,35

b)

3,35 π\pi  

c)

11 000,79

d)

11 000,79 π\pi  

4.

The y coordonnate of the point   P(θ)P\left(\theta\right)  in the trigonometric circle is given by...

a)

 sin⁡θ\sin\theta  

b)

 cos⁡θ\cos\theta  

c)

 tan⁡θ\tan\theta  

d)

None of the above

5.

Find the coordinates of the point P(27π4)P\left(\frac{27\pi}{4}\right)  

a)

(22,22)\left(\frac{\sqrt[]{2}}{2},\frac{\sqrt[]{2}}{2}\right)  

b)

(−22,22)\left(-\frac{\sqrt[]{2}}{2},\frac{\sqrt[]{2}}{2}\right)  

c)

(22,−22)\left(\frac{\sqrt[]{2}}{2},-\frac{\sqrt[]{2}}{2}\right)  

d)

(−22,−22)\left(-\frac{\sqrt[]{2}}{2},-\frac{\sqrt[]{2}}{2}\right)  

6.

Without your calculator, evaluate



 sin⁡(11π6)\sin\left(\frac{11\pi}{6}\right)  

a)

 12\frac{1}{2}  

b)

 −12-\frac{1}{2}  

c)

 32\frac{\sqrt{3}}{2}  

d)

 −32-\frac{\sqrt{3}}{2}  

e)

None of the above

7.

The x coordinnate of the point  P(4)P\left(4\right)  in the trigonometric circle is 

a)

-0,65

b)

-0,76

c)

0,998

d)

0,0698

8.

In the equation below, what is the h parameter ?


 8\sin\left(4x-\frac{\pi}{2}\right)+2  

a)

 π2\frac{\pi}{2}  

b)

 −π2-\frac{\pi}{2}  

c)

 22  

d)

 π8\frac{\pi}{8}  

e)

 −π8-\frac{\pi}{8}  

9.



In the equation below, what is the equation of the axis of oscillation ?
 8sin⁡(4x−π)+58\sin\left(4x-\pi\right)+5  

a)

 y = −5y\ =\ -5  

b)

 y = 8y\ =\ 8  

c)

 y = 5y\ =\ 5  

d)

 y =π4y\ =\frac{\pi}{4}  

e)

 y = 4y\ =\ 4  

10.

What is the amplitude of this function ?

a)

1

b)

2

c)

3

d)

4

e)

5

11.

What is the period of this function ?

5sin⁡(3π(x−4))+25\sin\left(3\pi\left(x-4\right)\right)+2  

a)

5

b)

3

c)

23\frac{2}{3}  

d)

2π2\pi  

e)

2π3\frac{2\pi}{3}  

12.

What is the parameter b of this function ?

4sin⁡(2x−3)+54\sin\left(2x-3\right)+5  

a)

22  

b)

33  

c)

44  

d)

55  

13.

In this graph, what is parameter b ?

a)

π2\frac{\pi}{2}  

b)

4π4\pi  

c)

44  

d)

12\frac{1}{2}  

14.

In this graph, what is parameter h ?

a)

π2\frac{\pi}{2}  

b)

π4\frac{\pi}{4}  

c)

π\pi  

d)

00  

15.

In this graph, what is parameter a ?

a)

11  

b)

  0.50.5  

c)

1.51.5   

d)

00  

e)

−0.5-0.5  

16.

In this graph, what is parameter k ?

a)

11  

b)

  0.50.5  

c)

1.51.5   

d)

00  

e)

−0.5-0.5  

17.

The period of the function f(x) = tan x is...

a)

π\pi

b)

2π2\pi

c)

π2\frac{\pi}{2}