Find value of x, if :
sin 3x = 2 sin 30° cos 30°
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cos x = cos 60° cos 30° - sin 60° sin 30°
cos(2x - 6°) = cos2 30° - cos2 60°
In each case given below, find the value of angle A, where 0° ≤ A ≤ 90°.
(i) sin (90° - 3A). cosec 42° = 1
(ii) cos (90° - A). sec 77° = 1