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Question -

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



Answer -

(1 – cos2 A)cosec2 A = 1
L.H.S. = (1 – cos2 A) cosec2 A = sin2 Acosec2 A  (
1 – cos2 A = sin2 A)
= (sin A cosec A)2 = (l)2 = 1 = R.H.S. {sin A cosec A = 1 }

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