Area of a figure using trigonometry?
The rotor blade of a helicopter is modelled using the following diagram, where TUVW is a square
Code:
(yaxis)

 W V
 _____
 / 
/ ____
 (xaxis)
O T U
theta is angle TOW.
a) Show that the area of OTUVW is
A = sin^2 ( theta ) + 1/4 sin ( 2 * theta )
b) Express the are in the form k cos( 2 * theta  alpha ) + p
c) Hence find the maximum are of the rotor blade, and the smallest positive value of theta when this maximum occurs
Please help me solve part A, thats mainly what I need, I am pretty sure that I can do B & C. Yes, that is all the information given believe it or not. Sorry for the bad drawing, but point O is on the origin, and T and U are on the xaxis. Also, I couldn't get it in the drawing, but theta is angle TOW.