For the reciprocal trigonometric function y=secx:
(a) Write its complete domain in set–builder form.
(b) State its range.
(c) Determine the subset of the domain that lies in the interval [−2π,2π] and list it using interval notation.
(d) Sketch one full period of the graph of y=secx, clearly marking the vertical asymptotes and the points where the graph intersects the coordinate axes.