If \tan x=\frac{b}{a}, then find the value of \sqrt{\frac{a+b}{a-b}}+\s

Khadija Wells

Khadija Wells

Answered question

2021-08-20

If tanx=ba, then find the value of a+bab+aba+b

Answer & Explanation

Mayme

Mayme

Skilled2021-08-21Added 103 answers

Solution:
tanx=ba
a+bab+aba+b=a(1+ba)a(1ba)+a(1ba)a(1+ba)
=(1+ba)(1ba)+(1ba)(1+ba)
=1+tanx1tanx+1tanx1+tanx
=(1+tanx)2+(1tanx)21tanx1+tanx
=(1+tanx)+(1tanx)(1tanx)(1+tanx)
=21tan2x
a+bab+aba+b=21sin2xcos2x
=2cos2xsin2xcos2x
=2cos2x{cosx
a+bab+aba+b=2cosxcos2x
Jeffrey Jordon

Jeffrey Jordon

Expert2021-12-10Added 2605 answers

Answer is given below (on video)

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?