If $$\cos\theta + \sin\theta = \sqrt{2}\cos\theta$$, then $$\cos\theta - \sin\theta$$ is

If the lengths of the sides of a triangle are in the ratio 4 : 5 : 6 and the inradius of the triangle is 3 cm, then the altitude of the triangle corresponding to the largest side as base is :

If sin (x + y) = cos [3(x + y)], then the value of tan[2(x + y)] is :

In ∠PQR, S and T are points on sides PR and PQ respectively such that ∠PQR =∠PST. If PT = 5 cm, PS = 3 cm and TQ = 3 cm, then length of SR is

If $$\tan\theta=\frac{\sin\alpha-\cos\alpha}{\sin\alpha+\cos\alpha}$$ then $$\sin\alpha+\alpha$$ is