Question

Given sin x = 3/5 and x is in quadrant 2, what is the value of tan(x/2)?

Answer 1

Since you know the angle is in Q2, draw a diagram for the problem.
sin is y/r
so y=3 and r=5

this is a pythagorean triple (3,4,5), so the length of the remaining side is 4.

tan x/2=sin x/(1+cos x)
plug the numbers in:

(3/5)/[1+(4/5)]
1/3