Question

(cosec A + sin A) (cosec A - sin A) = cot^2A + cos^2A

Answer 1

I will answer......

Answer 2

(cosec A+ sin A)(cosec A- sinA)
${cosec}^{2} a + { \sin }^{2} a$

$1 + {cot}^{2} a \: - (1 - {cos}^{2} \: a)$
$1 + {cot}^{2} a - 1 + {cos}^{2} a$
${cot}^{2} a + {cos}^{2} a$
= RHS