Find all solutions of
6cos2x+5sinx−7=0 6\cos^2 x + 5\sin x - 7 = 0 6cos2x+5sinx−7=0where 0∘≤x<k∘ 0^\circ \leq x < k^\circ\,0∘≤x<k∘ and k k\,k is a positive integer multiple of 360.
Give your solutions to the nearest degree, in terms of kkk.
322 exam-style questions on Edexcel A 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.