Question
Tue November 13, 2012 By:

Prove that the general solution of cotx + tan(60-x)tan(60+x) = 0 is x= n?/3 + ?/4

Expert Reply
Sun November 18, 2012

Cot x + tan(60-x).tan(60+x)=0

Using identity, tanx.tan(60-x).tan(60+x)=tan3x

We have:

cot x + tan 3x/tanx=0

1+tan3x=0

tan3x=-1

So general solution will be

3x= n? +3?/4, n belongs to I

x = n?/3+?/4
Related Questions
Tue April 25, 2017

Calculate:- sin 5 - sin

Ask the Expert