Question

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

Answer 1

look at the attached file

Answer 2

If you are looking for \[\tan \frac{ x }{ 2 }\]
then recall this formula

\[\sin x = \frac{ 2t }{ 1+t^2 }\]
where \[t = \tan(\frac{ x }{ 2 })\]

Alternatively find tan(x) using Pythagoras' Theorem:


Then use this formula (half angle t-identity)

\[\tan x = \frac{ 2t }{ 1-t^2 }\]

Answer 3

@asiannerd