1. An isosceles triangle ABC is right angled at B.D is a point inside the triangle ABC. P and Q are the feet of the perpendiculars drawn from D on the sides AB and Ac respectively of $$\ \triangle ABC.\ $$If AP = a cm, AQ = b cm and $$\ \angle BAD$$= 15$$^\circ$$, sin $$\ 75^\circ$$=
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