\frac{1-\cos \theta}{\sin\theta} + {\sin\theta} /{1-\cos \theta} =

TS ICET 2015 Question Paper with Solutions for online practice

Question : 126 of 200

Marks: +1, -0

{1-\cos θ}/{\sinθ}

{\sinθ} /{1-\cos θ}

Solution:

Given :

{1-\cosθ}/{\sinθ}+{\sinθ}/{1-\cos θ}

={(1-\cosθ)^{2}+\sin^{2}θ}/{\sinθ(1-\cosθ)}={1-2\cosθ+\cos^{2}θ+\sin^{2}θ}/{\sinθ(1-\cosθ)}={2(1-\cosθ)}/{\sinθ(1-\cosθ)}

={2}/{\sinθ}=2\cosecθ

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