Question

If A = 60° and B = 30°, verify that : sin (A + B) = sin A cos B + cos A sin B

A pole 6m high is fixed on the top of a tower. The angle of elevation of the top of the pole observed from a point P on the ground is 60° and the angle of depression of the point P from the top of the tower is 45°. Find the height of the tower and the distance of point P from the foot of the tower. (Use √3 = 1.73)

If x(2 tan 30°/(1 + tan² 30°)) = y(2 tan 30°/(1 – tan² 30°)), then x : y =

In the adjoining figure, TP and TQ are tangents drawn to a circle with centre O. If ∠OPQ = 15° and ∠PTQ = θ, then find the value of sin 2θ.