Question

Prove that cosec^2+sec^2=cosec^2 sec^2

Answer 1

hope this helps you☺️

Answer 2

If we take L.H.S. =>

L.H.S. = cosec^2 + sec^2

= (1 / sin^2) + (1 / cos^2)

= (cos^2 + sin^2) / sin^2.cos^2

= ( 1 ) / sin^2.cos^2...........beacuse, sin^2 + cos^2 = 1

= cosec^2.sec^2 = R.HS.

Thus, cosec^2 + sec^2 = cosec^2.sec^2

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Hope it was helpful.