show that cosecant theta minus cos theta square is equals to 1 - cos theta by 1 + cos theta
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(cotθ-cosecθ)²
=cot²θ-2cotθcosecθ+cosec²θ
=cos²θ/sin²θ-2(cosθ/sinθ)(1/sinθ)+1/sin²θ
=cos²θ/sin²θ-2cosθ/sin²θ+1/sin²θ
=(cos²θ-2cosθ+1)/sin²θ
=(1-cosθ)²/(1-cos²θ)
=(1-cosθ)²/(1+cosθ)(1-cosθ)
=(1-cosθ)/(1+cosθ)
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