Find the value of A if
If sec 2A = cosec (A - 27°) where 2A is an acute angle, find the measure of ∠A.
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sin 3A = cos (A - 6°), where 3A and A - 6° are acute angles.
tan 2A = cot (A - 18°), where 2A and A - 18° are acute angles.
Find the value of θ (0° < θ < 90°) if :
cos 63° sec (90° - θ) = 1
tan 35° cot (90° - θ) = 1.