How to prove the identity (1-sinx)/cosx=cosx/(1+sinx)?

Sanai Navarro

Sanai Navarro

Answered question

2023-01-09

How to prove the identity 1sinxcosx=cosx1+sinx?

Answer & Explanation

Oscar Black

Oscar Black

Beginner2023-01-10Added 7 answers

LHS, top, and bottom are multiplied by (1+sinx)
(1sinx)(1+sinx)cosx(1+sinx)
=1sin2xcosx(1+sinx)
but sin2x+cosx=1
∴=cos2xcosx(1+sinx)
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