For questions 6 - 9, prove the following trigonometric identities.

6. sectheta/tantheta=csctheta Hint: Make the left side equal to csc

7. (secx+tanx)(1-sinx/cosx)=1) Hint: Make the left side equal to 1

8. 2/radical3cosx+sinx=sec(pi/6-x) Hint: Make the right side look like the left side. You will need to evaluate 6using the unit circle.

9. Prove tan(theta/2)=sintheta/1+costheta for theta in quadrant 1 by filling in the reason below

Hint: Make the left side equal to the right side starting with the half-angle formula.