Prove that `a sin theta + b cos theta = c`. Where a, b and c are perpendicular, base and hypotenuse of a right angled triangle, and `theta` is the angle between hypotenuse and base.

If a sin theta + b cos theta = c then the value of a cos theta -b sin theta is :

If in a triangle ABC, theta is the angle determined by cos theta=(a-b)//c , then

If a sin theta+b cos theta=c then (a-b tan theta)/(b+a tan theta)=

If the sum of a side and hypotenuse of a right angled triangle is given then show that area of triangle will be maximum when the angle between side and the hypotenuse is pi//3 .

A particle is projected over a triangle from one extremity of its horizontal base. Grazing over the vertex, it falls on the other extremity of the base. If a and b are the base angles of the triangle and theta the angle of projection, prove that tan theta = tan prop + tan beta .

If sin theta and -cos theta are the roots of the equation ax^(2) - bx - c = 0 , where a, b, and c are the sides of a triangle ABC, then cos B is equal to