Prove that (1+cosθ)(1−cosθ)=(sin^2)θ

ossidianaZ

ossidianaZ

Answered question

2021-08-16

Prove that (1+cosθ)(1cosθ)=sin2θ

Answer & Explanation

Macsen Nixon

Macsen Nixon

Skilled2021-08-17Added 117 answers

We have to prove that (1+cosθ)(1cosθ)=sin2θ

Let us start from left hand side. By using the identity a2b2=(a+b)(ab) we get (1+cosθ)(1cosθ)=1cos2(θ)=sin2θ

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