A particle is thrown over a triangle from one end of a horizontal base and after grazing the vertex falls on the other end of the base. If `alpha and beta` be the base angles and `theta` the angle of projection, prove that `tan theta = tan alpha + tan beta` .

A particle is projected over a traingle from one end of a horizontal base and grazing the vertex falls on the other end of the base. If alpha and beta be the base angles and theta the angle of projection, prove that tan theta = tan alpha + tan beta .

A particle is thrown over a triangle from one end of a horizontal base and after grazing the vertex falls on the other end of the base. If 30^(@) and 60^(@) be the base angles and theta the angle of projection then tan theta is

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 .

A particle thrown over a triangle from one end of a horizontal base falls on the other end of the base after grazing the vertex. If alpha and beta are the base angles of triangle and angle of projection is theta , then prove that ( tan theta = tan alpha + tan beta)

If a cos 2 theta + b sin 2 theta =c has alpha and beta as its solution, then the value of tan alpha + tan beta is

If alpha and beta are roots of the equatioin a cos theta + b sin theta = c , then find the value of tan (alpha + beta).

A projectile is fired from the base of cone shaped hill. The projectle grazes the vertex and strikes the hill again at the base. If alpha be the half-angle of the cone, h its height, u the initial velocity of projection and theta angle of projection, then tan theta tan alpha is: