If sec A + tan A = p, show that : sin A =

Question

KnowledgeBoat · Accepted Answer

Substituting value of p in R.H.S. of the above equation : By formula, sec² A - 1 = tan² A and sec² A = 1 + tan² A Since, L.H.S. = R.H.S. Hence, proved that sin A = .

Mathematics

If sec A + tan A = p, show that : sin A =

Trigonometric Identities

Related Questions

Prove the following identities :
(1 + tan A + sec A)(1 + cot A - cosec A) = 2

If 2 sin A - 1 = 0, show that :
sin 3A = 3 sin A - 4 sin³ A

If 4 cos² A - 3 = 0, show that :
cos 3A = 4 cos³ A - 3 cos A

Mathematics

If sec A + tan A = p, show that : sin A =

Trigonometric Identities

Related Questions

Prove the following identities :(1 + tan A + sec A)(1 + cot A - cosec A) = 2

If 2 sin A - 1 = 0, show that :sin 3A = 3 sin A - 4 sin3 A

If 4 cos2 A - 3 = 0, show that :cos 3A = 4 cos3 A - 3 cos A

Prove the following identities :
(1 + tan A + sec A)(1 + cot A - cosec A) = 2

If 2 sin A - 1 = 0, show that :
sin 3A = 3 sin A - 4 sin³ A

If 4 cos² A - 3 = 0, show that :
cos 3A = 4 cos³ A - 3 cos A