Water wheel rotates through angle 0, water level L behind wheel changes according to equation L = 1 - sin0 - sin^2 0 where L is measured in inches. Compute values of 0 for which water level is zero. Determine exact values. Do not use a calculator.
i) pi/2 , 3pi/2 , pi/3 , 2pi/3
ii) pi/6, 5pi/6, 3pi/2
iii) pi/2 , 3pi/2 , pi/3 , 2pi/3
iv) pi/3 , 2pi/3
v) none of the above