For problems 1-3, find the EXACT VALUE. GivencosA=135 for A in quadrant I andtanB=2 with B in quadrant IV. Rationalize the denominator.

1. sin(A+B)

2. cos(B/2). Determine the quadrant of B/2

3. cos2A

4. in order to evaluatecsc14 with a calculator a student enters sin1(41). Will this result in the correct answer? Explain. Why does this only return a single answer and not many?

5. Prove the following:tan+cot2=sin2

6. Prove the following:1sincos=sec+tan