Question

Cosec^4 theta - cosec^2 theta = cot^4 theta + cot^2 theta

Answer 1

LHS

$cosec^4a - cosec^2a$

$cosec^2a ( cosec^2a - 1 )$

$cosec^2a × cot^2a$

$( 1 + cot^2a ) cosec ^2a$

$cot^2a + cot^4a$ = RHS

Hope this helps you

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