Question

PLEASE HELP Given sin -3/5 and x is in quadrant 3, what is the value of tan (x/2)

Answer 1

Use the formula for tan (1/2 x) thats in your textbook.

The formula requires you to plug in a value for cos x.
Weel, if x is a 3rd quadrant angle, then cos x must be negative, as cos is negative in the 3rd quadrant.
So if sin x = -3/5, so cos x = -4/5

Now plug in -4/5 for cos x, and finish the problem.

Note, the final answer will have a minus sign in front of the square root.