Sample Test

1) Find the exact value of sin 255^o
 
 

          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 ( 30^o + x ) + cos ( 30^o - 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 105^o

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

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

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

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

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