Sample Test

 


1) Find the exact value of sin 255o
 
 
          2) Let the sec x = 5/4 and sec y = 29/20. If x and y are first quadrant angles find :
                   a) Cos ( x - y) =                                                      b) Sin ( x + y) =

 
 
3) Simplify cos ( 30o + x ) + cos ( 30o - x ) =

 
 
4) Prove cot A = sin 2A
                         1 - cos 2A
 
          5) Find the two supplementary angles formed by the line 2x - 4y = 5 and y = 3x -2

 
 
6) Use the half angle formula to find the exact value of cos 105o

 
 
7) Prove sin 4x = 4sin x cos x cos 2x

 
 
8) Solve the equation for 0o < x < 360o.                         5 cos 2x = 1

 
9) Solve the equation for 0o < x < 360o.                   cos2 x = cos x

 
10) Solve the equation for 0 < x < 2p                             cos 2x = cos x + 2