Question

prove that : 1+cosA/1-cosA
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Answer 1

Given :-

prove that : 1+cosA/1-cosA

SoLuTiOn :-

To prove

$\frac{1 + cos \: a}{1 - cos \: a}$

We prove Cos2A = 2 Cos² A - 1

Cos A = 2 Cos²

$\frac{a}{2} - 1$

$lhs = \frac{1 + cos \: a}{1 - cos \: a} = \frac{1 + 2cos {}^{2} \frac{a}{2} }{1 - 2cos {}^{2} \frac{a}{2} } \frac{ - 1}{ + 1}$

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