Sketch, on the same axes, the graphs of y=sinxy=\sin xy=sinx and y=cosxy=\cos xy=cosx for 0°⩽x⩽360°0°\leqslant x\leqslant360°0°⩽x⩽360°. Show the coordinates of their points of intersection.
State the period of y=tanxy=\tan xy=tanx and the equations of its vertical asymptotes in the interval 0°<x<360°0°<x<360°0°<x<360°.