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TRIGONOMETRY PART 1(MM F5 KSSM)

Total questions: 12

Worksheet time: 33mins

Name
Class
Date
1.

Given that  sin⁡θ=0.5\sin\theta=0.5  for  0°≤θ≤360°0\degree\le\theta\le360\degree  , find the value of  θ.\theta.  

a)

 30° 30\degree\   and  150°150\degree  

b)

 30°30\degree  and  210°210\degree  

c)

 30°30\degree  and  330°330\degree  

d)

 150°150\degree  and  210°210\degree  

2.

Given that  cos⁡θ=−0.7071\cos\theta=-0.7071  for  0°≤θ≤360°0\degree\le\theta\le360\degree  , find the value of  θ.\theta.  

a)

 45° 45\degree\   and  135°135\degree  

b)

 45°45\degree  and  315°315\degree  

c)

 135°135\degree  and  225°225\degree  

d)

 135°135\degree  only

3.

Given that  tan⁡θ=−0.7089\tan\theta=-0.7089  and  180°≤θ≤360°180\degree\le\theta\le360\degree  , find the value of  θ.\theta.  

a)

 215° 215\degree\   

b)

 234.67°234.67\degree  

c)

 315.33°315.33\degree  

d)

 324.67°324.67\degree  

4.

Determine the quadrant and the corresponding reference angle (or basic angle) for  259°259\degree  

a)

Quadrant 3 & basic angle =  11°11\degree  

b)

Quadrant 3 & basic angle = 79°79\degree  

c)

Quadrant 4 & basic angle =  11°11\degree  

d)

Quadrant 4 & basic angle = 79°79\degree  

5.

Determine the quadrant and the corresponding reference angle (or basic angle) for  165°165\degree  

a)

Quadrant 1 & basic angle =  15°15\degree  

b)

Quadrant 1 & basic angle = 75°75\degree  

c)

Quadrant 2 & basic angle =  15°15\degree  

d)

Quadrant 2 & basic angle = 75°75\degree  

6.

The diagram shows a semicircle with radius 1 unit on a Cartesian plane.
Find the value of  sin⁡x\sin x  

a)

0.8

b)

0.3

c)

 −0.3-0.3  

d)

0.9

7.

The diagram shows a semicircle with radius 1 unit on a Cartesian plane.
Find the value of  cos⁡y\cos y  

a)

0.8

b)

0.3

c)

 −0.3-0.3  

d)

0.9

8.

The diagram shows a semicircle with radius 1 unit on a Cartesian plane.
Find the value of  tan⁡y\tan y  

a)

0.2667

b)

0.375

c)

 −0.3333-0.3333  

d)

 −3-3  

9.

In Diagram, JLM is a straight line.
Find the value of  cos⁡x°.\cos x\degree.  

a)

 513\frac{5}{13}  

b)

 1213\frac{12}{13}  

c)

 −513-\frac{5}{13}  

d)

 −1213-\frac{12}{13}  

10.

In Diagram, WXZ is a right-angled triangle.
It is given that Y is a midpoint of XZ,  WY=10 cmWY=10\ cm  and  XZ=16 cm.XZ=16\ cm.  

Find the value of  tan⁡x°.\tan x\degree.  

a)

 −34-\frac{3}{4}  

b)

 −45-\frac{4}{5}  

c)

 −54-\frac{5}{4}  

d)

 −43-\frac{4}{3}  

11.

The diagram shows a rectangle PQRS.
It is given that  sin⁡x=35.\sin x=\frac{3}{5}.  Find the length, in cm, of TQ.

a)

4

b)

6

c)

8

d)

10

12.

Given that  cos⁡x=1213\cos x=\frac{12}{13}  where  180°≤x≤360°,180\degree\le x\le360\degree,  find the value of  tan⁡x°.\tan x\degree.  

a)

 −513-\frac{5}{13}  

b)

 −512-\frac{5}{12}  

c)

 512\frac{5}{12}  

d)

 513\frac{5}{13}