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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)

 sinθ\sin\theta  

b)

 cosθ\cos\theta  

c)

 tanθ\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(4xπ)+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(x4))+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(2x3)+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}