Solve the equation
sin5θcos2θ−cos5θsin2θ=0
for 0≤θ<2π.
a. (i) Express the left-hand side as a single trigonometric function of one angle.
b. (ii) Hence find the general solution of the resulting equation.
c. (iii) List all solutions that lie in the interval 0≤θ<2π, arranging them in ascending order.