If (2 cos 2A - 1)(tan 3A - 1) = 0; find all possible values of A.

Question

KnowledgeBoat · Accepted Answer

Given, ⇒ (2 cos 2A - 1)(tan 3A - 1) = 0 ⇒ 2 cos 2A - 1 = 0 or tan 3A - 1 = 0 ⇒ 2 cos 2A = 1 or tan 3A = 1 ⇒ cos 2A = or tan 3A = tan 45° ⇒ cos 2A = cos 60° or tan 3A = tan 45° ⇒ 2A = 60° or 3A = 45° ⇒ A = or A = ⇒ A = 30° or 15°. Hence, A = 30° or 15°.

Mathematics

If (2 cos 2A - 1)(tan 3A - 1) = 0; find all possible values of A.

Trigonometric Identities

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