Consider the equation tan2θ=3tanθ.
a. (i) Derive the quadratic equation in tanθ that follows from the given relation.
b. (ii) Solve the quadratic to obtain the general solution for θ.
c. (iii) Identify and exclude any values of θ for which the original equation is undefined, and then list the admissible solutions in 0≤θ<2π.