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.
Related Questions
Without using trigonometric tables, evaluate the following:
(cos2 25° + cos2 65°) + cosec θ sec(90° - θ) - cot θ tan (90° - θ).
Prove the following identities, where the angles involved are acute angles for which the trigonometric ratios are defined:
(sec A + tan A)(1 - sin A) = cos A.
Prove the following identities, where the angles involved are acute angles for which the trigonometric ratios are defined:
tan A + cot A = sec A cosec A
Prove the following identities, where the angles involved are acute angles for which the trigonometric ratios are defined:
(1 - cos A)(1 + sec A) = tan A sin A.