How do you simplify the identify $sin^2x/(1-cosx) = 1+cosx$ ?

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Answer 1 · 2018-03-24T02:35:36

As proved below.

$"To prove " sin^2x / (1 - cos x) = 1 + cos x$

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As per Pythagorean identities , $sin^2 x = 1 - cos^2 x$

$:. sin^2 x / (1 - cos x) = (1 - cos^2 x) / (1 - cos x)$

But we know, $a^2 - b^2 = (a + b) * (a - b)$

Hence, $=> (cancel(1 - cos x) (1 + cos x)) / cancel(1 - cos x)$

$=> 1+cos x = R H S$

Q E D

How do you simplify the identify sin^2x/(1-cosx) = 1+cosxsin^2x/(1-cosx) = 1+cosx?