Mathematics
Prove the following identities, where the angles involved are acute angles for which the trigonometric ratios are defined:
(1 + tan2 A)(1 - sin A)(1 + sin A) = 1.
Trigonometric Identities
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Answer
The L.H.S of above equation can be written as,
⇒ sec2 A.(1 - sin2 A)
⇒ sec2 A.cos 2 A
⇒
Since, L.H.S. = 1 = R.H.S. hence, proved that (1 + tan2 A)(1 - sin A)(1 + sin A) = 1.
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