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

Hope you did fantastic on the test.  If not, go back and study some more!!

 
If you did well, congratulations!  Head back to the main menu!!