Revision on Trigonometric Equations

Each question carries 10 marks.

QUIZ 1

For qu (1) -(6), find x where x varies from 0 to 360.

1.
sinxo = - sin30o
 
 
-30    30    150    210    330
2. cosxo=-cos40o
 
40    140    220    320

 
3. 2sinxo = -tanxo  
 

0    60    120    180    240    300    360
 
4. 4cos3x o= 3 cos xo  
 

0     30      90      150   180 210 270 330 360
 
5. sin2xo = -1  
 

45 135 225 315 395
 
6. 2 cos(xo-70o) = 1  
 

10 40 130 230 370
 
     

 

For qu (7) -(9), find x where 0 < x < 2 pi.

7. sin x = sin 1  
 
1.00       2.14       4.14       5.28      
 
8. cos x = - cos 1  
 
1.00       2.14       4.14       5.28    
 
9. 2 tanx= -1  
 
0.46 2.68 3.60 5.82

 

QUIZ 2

Each question carries 10 marks.

1. Find the maximum and minimum values of 4cos2x - sin2x.  
 
2. What are the maximum and minimum values of 3-(cosx+0.8)2 ?
 


3.

 

 

 

The largest vaue of 0.5 cos22x is


4. For what value of a will 4-3cos(x0+300) attain a maximum?  
 

60      150      180      240     
 
5. How many roots does the equation sinx(tanx+3)=0, where 00<x<3600, have?
 

 

6.

 

 The equation sin2x=1+2cosx, where 00<x<3600, has

 

For qu (7) -(14), find the equation of the trigonometric graphs.

When typing an equation such as y=Asink(x-u)+C, do not include any blank and unit.

7.

 

 

 

       

8.

 

 

 

 

       

9.

 

 

 
 

       

10.

 

 

 

 

       

11.

 

 

 

 

       

12.

 

 

 

 

The graph obviously moves to the left. That would mean the presence of (x+u). How can you find u?

 

 

 

 


 
       

13.

 

 

 

  

 

 

       

14.