Given that θ=17.29∘\theta = 17.29^\circθ=17.29∘ is one solution, solve, for 0≤θ<180∘0 \leq \theta < 180^\circ0≤θ<180∘, the equation,
sin(3θ−15)=k \sin(3\theta - 15) = k sin(3θ−15)=kwhere k k\,k is a constant.
Find the value of kkk, giving your answer to one decimal place, and give the other solutions 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.