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Mathematics

Find the value of θ (0° < θ < 90°) if :

cos 63° sec (90° - θ) = 1

Trigonometrical Ratios

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Answer

Given,

cos 63° sec (90° - θ) = 1

We know that,

cos A sec A = 1

∴ 90° - θ = 63°

⇒ θ = 90° - 63°

⇒ θ = 27°.

Hence, θ = 27°.

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