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.
Practise Edexcel AS Level Maths Trigonometric Identities and Equations with exam-style questions for AS Level Maths. 30 questions 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, matched to the Edexcel AS Level Maths (8MA0) specification and written in Paper 1 and Paper 2 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.