Solve, for 0≤θ<180∘0 \leq \theta < 180^\circ0≤θ<180∘, the equation,
sin(3θ−k)=0.7 \sin(3\theta-k)=0.7 sin(3θ−k)=0.7where k k\,k is a constant such that 0≤k≤300\leq k\leq 300≤k≤30.
Give your answers in terms of kkk, giving any numerical values to two decimal places.
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.