If a\sin^2x + b\cos^2x = c b\sin^2y + a\cos^2y = d a\tan

bacfrancaiso0j

bacfrancaiso0j

Answered question

2022-04-22

If asin2x+bcos2x=c
bsin2y+acos2y=d
atanx=btany
then prove that
a2b2=(da)(ca)(bc)(bd)

Answer & Explanation

otposlati9u8

otposlati9u8

Beginner2022-04-23Added 19 answers

a2b2=tan2ytan2x=sin2ycos2xcos2ysin2x
also
cos2x=caba
sin2x=cbab
cos2y=dbab
sin2y=daba
Therefore the result can easily be derived.
a2b2=(da)(ca)(ab)(ab)(ba)(ba)(cb)(db)
Frederick Greer

Frederick Greer

Beginner2022-04-24Added 17 answers

I think it's wrong.
Try a=b=c=d=x=y=1.

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?