If sin (A - B) = sin A cos B – cos A sin B and cos (A - B) = cos A cos B + sin A sin B, find the values of sin 15° and cos 15°.

If , verify that

(i)

(ii)

(iii)

If A = 30° and B = 60°, verify that

(i) .

(ii)

In a right triangle ABC, right angled at C, if = 60° and AB = 15 units. Find the remaining angles and sides.

Ifis a right triangle such that = 90°, = 45° and BC = 7 units. Find , AB and AC.