February 21, 2017

Homework Help: Math

Posted by Momo on Sunday, October 18, 2009 at 1:57pm.

Solve this equation algebraically:

(1-sin x)/cos x = cos x/(1+sin x)

I know the answer is an identity, and when graphed, it looks like cot x. I just don't know how to get there. I tried multiplying each side by its conjugate, but I still feel stuck. This is what I have so far:

cos^2(x)/cos x + sin x =
cos x - sin x/cos^2(x)

...but I'm not really sure how to get to the answer. Help please?
Thank you!

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