Let f(θ)=tanθ+secθ, where θ is measured in radians.
a. (i) Determine all values of θ in the interval [0,2π] for which f(θ) is undefined.
b. (ii) How many points of discontinuity does f have in the closed interval [0,8π]? Show your reasoning.
c. (iii) On each open sub-interval of continuity of f in [0,2π], does f attain a maximum or minimum value? Give a brief justification.