Question

cost theta/1-tan theta + sin theta/1-cot theta

Answer 1

The answer is given here.

Answer 2

LHS,

cos0/(1-tan0) + sin0/(1-cot0)

cos0/{1-(sin0/cos0)} + sin0/{1-(cos0/sin0)}

cos0/{cos0-sin0/cos0}+sin0/{sin0-cos0/sin0}

cos^2 0 /(cos0-sin0)+sin^2 0/(sin0-cos0)

cos^2 0 /(cos0-sin0)-sin^2 0/(cos0-sin0)

(cos^2 0-sin^2 0)/(cos0-sin0)

(cos0-sin0)(cos0+sin0)/(cos0-sin0)

cos0-sin0 .... Hence proved ;)

Hope it may helps u ✌✌✌

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