Find angle A, if sec 2A = cosec (A + 48°).

Question

KnowledgeBoat · Accepted Answer

We know that, sec θ = cosec (90° - θ) Solving, ⇒ sec 2A = cosec (A + 48°) ⇒ cosec (90° - 2A) = cosec (A + 48°) ⇒ 90° - 2A = A + 48° ⇒ A + 2A = 90° - 48° ⇒ 3A = 42° ⇒ A = = 14°. Hence, A = 14°.

Mathematics

Find angle A, if sec 2A = cosec (A + 48°).

Trigonometrical Ratios

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