Question

Q16 - Prove the following identity:
(cosecA - cotA)2 = (1 – COSA)/(1 + cosA​

Answer 1

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Answer 2

$★( {cosecA - cotA})^{2} \\ \\ = ( { \frac{1 - cosA}{sinA} })^{2} \\ \\ = \frac{( {1 - cosA})^{2} }{ {sin}^{2} A} \\ \\ = \frac{( {1 - cosA})^{2} }{1 - {cos}^{2}A } \\ \\ = \frac{1 - cosA}{1 + cosA}$