## anonymous 3 years ago If csc theta = -5/3 and theta has its terminal side in Quadrant III, find the exact value of tan 2theta.??

1. tkhunny

Draw a right triangle. Label the Right Angle. Label one of the acute angles $$\theta$$. Properly label two sides of the triangle according to the cosecant information given. Let's see what you get.

2. hba

You may need this :)

3. anonymous

tan2x = 2tanx/ (1-tan^2x)

4. anonymous

|dw:1356367205280:dw| hope nw u can solve

5. anonymous

and tan x is + ve Since theta has its terminal side in Quadrant III

6. anonymous

thank you all!!