Given that x=30∘x=30^\circx=30∘ is a solution of
6cos2x+ksinx−7=0 6\cos^2 x + k\sin x - 7 = 0 6cos2x+ksinx−7=0find the value of kkk.
Hence find all the other solutions of the equation where 0∘≤x<360∘ 0^\circ \leq x < 360^\circ\,0∘≤x<360∘
Give your solutions to the nearest degree.
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.