Exam 769700

Exam 769700

1.         Find the complete exact solution of

2.         Solve  for the principal value(s) to two decimal places.

3.         Solve

4.         Prove that

5.         Prove that

6.         Prove that

7.         Prove that

8.         Prove that

9.         Find a counterexample to show that the equation  is not             an identity.

10.       Write  as a function of  only.

11.       Write  as a function of  only.

12.       Write  as a function of a positive angle.

13.       Write in terms of its co-function. Make sure your answer is a function of a positive angle.

14.       Find the exact value of

15.       Sketch a graph of , paying particular attention to the critical points.

16.       If , with , find and .

17.       Find the exact value of if in Quadrant 1.

18.       Find the exact value of  if ( in Quadrant II)

19.       Solve  for 0 ≤ x ≤ 2π

20.       Write as a sum (or difference).