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Question -

Prove the following trigonometric identities :
(1 тАУ cos2 A) cosec2 A = 1



Answer -

(1 тАУ cos2┬аA)cosec2┬аA = 1
L.H.S. = (1 тАУ cos2┬аA) cosec2┬аA = sin2┬аAcosec2┬аA┬а (
тИ╡ 1 тАУ cos2┬аA = sin2┬аA)
= (sin A cosec A)2┬а= (l)2┬а= 1 = R.H.S.┬а{sin A cosec A = 1 }

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