If sec (90° - 3A).cos 48° = 1 and 0 ≤ 3A ≤ 90°; find the value of angle A.
Trigonometric Identities
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Question

If sec (90° - 3A).cos 48° = 1 and 0 ≤ 3A ≤ 90°; find the value of angle A.

KnowledgeBoat · Accepted Answer

Given: sec (90° - 3A) . cos 48° = 1 ⇒ cosec 3A . cos 48° = 1 ⇒ . cos 48° = 1 ⇒ sin 3A = cos 48° ⇒ sin 3A = cos (90° - 42°) ⇒ sin 3A = sin 42° So, 3A = 42° ⇒ A = ⇒ A = 14° Hence, A = 14°.

Mathematics

If sec (90° - 3A).cos 48° = 1 and 0 ≤ 3A ≤ 90°; find the value of angle A.

Trigonometric Identities

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Mathematics

If sec (90° - 3A).cos 48° = 1 and 0 ≤ 3A ≤ 90°; find the value of angle A.

Trigonometric Identities

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