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#

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 #

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