How to prove that -cot2x = (tan^2x-1)/(2tanx)?

Sloane Cummings

Sloane Cummings

Answered question

2023-01-01

How to prove that cot2x=tan2x12tanx?

Answer & Explanation

Belinda Solomon

Belinda Solomon

Beginner2023-01-02Added 11 answers

LHS=cot2x
=cos2xsin2x
=(cos2xsin2x)2sinxcosx
=sin2xcos2x2sinxcosx
=sin2xcos2xcos2x2sinxcosxcos2x
=tan2x12tanx=RHS

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