# trig

posted by
**Anonymous**
.

An object Is propelled upward at an angle θ, 45° < θ<90°, to the horizontal with an initial velocity of (Vo) feet per second from the base of a plane that makes an angle of 45° with the horizontal. If air resistance is ignored, the distance R it travels up the inclined plane is given by

R = Vo^2√2

------------------ cos θ (sin θ – cos θ)

16

Show that

R = Vo^2√2

------------------ (sin 2θ – cos 2θ - 1)

32

Graph R= R(θ).

What value of θ makes R the largest? (assume Vo= 32 ft/sec.)