Sketch the graphs of y=3cosxy = 3 \cos xy=3cosx and y=sinxy = \sin xy=sinx for 0∘≤x≤180∘ 0^\circ \leq x \leq 180^\circ\,0∘≤x≤180∘ on the same axes.
Find the exact coordinates of the point of intersection of these graphs, giving the answer in the form (arctana,kb)(\arctan a, k\sqrt{b})(arctana,kb), where a a\,a and b b\,b are integers and k k\,k is rational.