Find the value of θ (0° < θ < 90°) if :
tan 35° cot (90° - θ) = 1.
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Given,
tan 35° cot (90° - θ) = 1
We know that,
tan A cot A = 1
∴ 90° - θ = 35°
⇒ θ = 90° - 35°
⇒ θ = 55°.
Hence, θ = 55°.
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Find the value of A if
If sec 2A = cosec (A - 27°) where 2A is an acute angle, find the measure of ∠A.
cos 63° sec (90° - θ) = 1