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Trigonometry Quadrant Revision

Total questions: 22

Worksheet time: 11mins

Name
Class
Date
1.

80°80^{\degree}  

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

2.

120°120^{\degree}  

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

3.

190°190^{\degree}  

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

4.

280°280^{\degree}  

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

5.

311°311^{\degree}  

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

6.

211°211\degree  

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

7.

342°342\degree  

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

8.

147°147\degree  

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

9.

118°118\degree  

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

10.

74°74\degree  

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

11.

233°233\degree  

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

12.

The reference angle of 320°320\degree is

a)

40°40\degree  

b)

55°55\degree  

c)

20°20\degree  

d)

160°160\degree  

13.

850°-850\degree  lies in the

a)

First Quadrant

b)

Second Quadrant

c)

Third Quadrant

d)

Fourth Quadrant

14.

cosπ3=\cos\frac{\pi}{3}=  

a)

sinπ3\sin\frac{\pi}{3}  

b)

sinπ6\sin\frac{\pi}{6}  

15.

cosπ3=\cos\frac{\pi}{3}=  

a)

sinπ3\sin\frac{\pi}{3}  

b)

sinπ6\sin\frac{\pi}{6}  

16.

If tanθ>0\tan\theta>0 , which quadrants could  θ\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

17.

Given that  cosθ=0.7071\cos\theta=-0.7071  for  0°θ360°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

18.

Given that  tanθ=0.7089\tan\theta=-0.7089  and  180°θ360°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  

19.

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  

20.

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  

21.
If cos x = 1/2, find all possible values of x where 0<x<360. 
a)
A. 60o and 300o
b)
B. 30o and 150o
c)
C. 30o and 330o
d)
D. 60o and 120o
22.

In quadrant III (three):

a)

sinx < 0 ; cos x > 0; tan <0

b)

sinx > 0 ; cos x > 0; tan >0

c)

sinx < 0 ; cos x < 0; tan >0

d)

sinx > 0 ; cos x < 0; tan <0