Prove that cot theta+cosec theta −1 / cot theta −cosec theta+1
=1+cos theta / sin theta
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cotθ + cosecθ - 1cotθ - cosecθ + 1 = 1 + cosθsinθ
= (cosecθ+cotθ) = (1sinθ+cosθsinθ)
=1+cosθsinθ = RHS.
Hence , cotθ + cosecθ- 1cotθ - cosecθ
= 1 + cosθsinθ.
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