Question

1+cos+sin/1+cos-sin=1+sin/cos

Answer 1

$<marquee>Here's your Answer</marquee >$

Rationalising LHS

$\dfrac{1+cos+sin} {1+cos-sin}$ × $\dfrac{1+sin} {1+sin}$

=> $\dfrac{(1+cos+sin)(1+sin)}{1+cos-sin + sin+sin×cos-sin^2}$

=> $\dfrac{(1+cos+sin)(1+sin)} {1+cos-(1-cos^2)+sin×cos}$

=> $\dfrac{(1+cos+sin)(1+sin)} {cos+cos^2+sin×cos}$

=> $\dfrac{(1+cos+sin)(1+sin)} {cos(1+cos+sin)}$

=> $\dfrac{1+sin} {cos}$ = RHS

Hence proved!!!

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Answer 2

Your answer

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