Question

2. Prove that:
(i) cosec theta (sec theta - 1) - cot theta (1 - cos theta) = tantheta- sintheta
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Answer 1

Answer:

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Answer 2

Answer:

Step-by-step explanation:

LHS=cosecθ(secθ-1)-cotθ(1-cosθ)

      =1/sinθ(1/cosθ-1)-cosθ/sinθ(1-cosθ)

      =(1-cosθ)[1/sinθ.cosθ-cosθ/sinθ]

      =(1-cosθ)1-cos²θ/sinθcosθ

      =(1-cosθ)sin²θ/sinθcosθ

      =(1-cosθ) sinθ/cosθ= sinθ/cosθ - sinθ

      =tanθ-sinθ

therefour,LHS=RHS