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 Question from Neeraj, a parent: sin A/1+cos A + 1+cos A/sin A = 2cosec A

To verify the identity

$\frac{\sin S}{1 + \cos A} + \frac{1 + \cos A}{\sin A} = 2 \csc A$

I would start by writing $\csc A$ as $\large \frac{1}{\sin A}.$

Next multiply the numerator and denominator of the first fraction on the left side by $1 - \cos A$ and simplify. This will result in a denominator of $\sin^2 A.$ If you then multiply the numerator and denominator of the second fraction on the left side by $\sin A$ the two fractions will have the same denominator. Add the fractions and simplify.

Penny

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