Find the value of angle A, if :

(i) sin 2A = 1

(ii) 2 sin 2A = 1

(iii) 2 sin A = 1

In the figures given below, find AB :

(i)

(ii)

(iii)

In the given figure, ∠B = 90° and ∠ADB = x°. Find :

(i) sin ∠CAB

(ii) cos² C° + sin² C°

(iii) tan x° - cos x° + 3 sin x°