The horizontal range is same whether the angle of projection is ` alpha `or `beta` , where ` alpha+ beta = …………………….. .

Prove that for a given velocity of projection, the horizontal range is same for two angles of projection alpha and (90^(@) - alpha) .

Show that the range of a projectile for two angles alpha and beta is the same where alpha+beta=90^@ .

alpha and beta are acute angles and cos2 alpha=(3cos2 beta-1)/(3-cos2 beta) then tan alpha cot beta=

Particle "A" is released from a point "P" on a smooth inclined plane inclined at an angle alpha with the horizontal.At the same instant another particle "B" is projected with initial velocity 'u' making an angle beta 'with the horizontal.Both the particles meet again on the inclined plane.the relation between ' alpha and beta is 1) alpha+beta=(pi)/(6) 2) alpha+beta=(pi)/(4) 3) alpha+beta=(pi)/(3) 4) alpha+beta=(pi)/(2)