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Mathematics

Find angle A, if cos 53° sec (90° - A) = 1.

Trigonometric Identities

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Answer

cos 53° sec (90° - A) = 1

⇒ sec (90° - A) = 1cos 53°\dfrac{1}{\text{cos 53°}}

⇒ sec (90° - A) = sec 53°

So, 90° - A = 53°

⇒ A = 90° - 53°

⇒ A = 37°

Hence, A = 37°.

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