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Cot θ − tan θ = cos 2θ/(sin θ cos θ)?

0 votes

How do I prove this identity?

asked Nov 3, 2014 in ALGEBRA 2 by anonymous

1 Answer

0 votes

Given Identity

 cot θ - tan  =

    cos2θ    
  sinθ cosθ

 

Start from Left Hand Side(LHS)

cot θ - tan θ

cosθ
sinθ

 - 

sinθ
cosθ

Rewrite the expression with common denominator.

cos²θ - sin²θ
  cosθsinθ

Substitute formula : cos²θ - sin²θ = cos 2θ

    cos2θ    
  sinθ cosθ

Given Identity Cot θ − tan θ = cos 2θ/(sin θ cos θ) is proved

answered Nov 3, 2014 by lilly Expert

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