Answers To Test

1) 


                     2)  Since sec x = 5/4 ,  x = 4, y = 3, r = 5  and since sec y = 29/20,  x = 20, y = 21, r = 29


3)     = cos 30 cos x - sin 30 sin x
        + cos 30 cos x + sin 30 sin x
         2 cos 30 cos x
              __
         = \/ 3  cos x
4) 

                        5)  slope for first line is 1/2 and the slope for the second line is 3.
                             Thus, the angle is 45o and the supplementary angle is 135o.
6) 
7)  sin 4x = 4sin x cos x cos 2x
               2sin 2x cos 2x =
     2(2sin x cos x)cos 2x =
       4 sin x cos x cos 2x =
8) 
9)  cos2x = cos x
     cos2x - cos x = 0
     cos x(cos x - 1) = =
     cos x = 0 or cos x = 1
The answers are  0o, 90o, and 270o
10)  cos 2x = cos x + 2
       2cos2x - 1 = cos x + 2
       2cos2x - cos x - 3 = 0
      (2cos x - 3)(cos x + 1) = 0
      cos x = 3/2 or cos x = -1
         The first answer doesn't work, because cosine can't = 3/2
                             The only answer is p
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