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.
41 exam-style questions on Edexcel AS Level Maths Trigonometric Identities and Equations, covering 10.1 Angles in all four Quadrants, 10.2 Exact Values of Trigonometric Ratios, 10.3 Trigonometric Identities, 10.4 Solving Trigonometric Equations, 10.5 Harder Trigonometric Equations, and 10.6 Equations and Identities. Each one has a worked solution and a mark scheme showing where the marks go.