In triangle ABCABCABC, side AB AB\,AB has length 6 cm, side AC AC\,AC has length 10 cm and ∠BAC=θ\angle BAC = \theta∠BAC=θ, where θ \theta\,θ is measured in degrees. The area of triangle ABC ABC\,ABC is 18 cm2
Find the two possible values of sinθ\sin \thetasinθ.
Given that BC BC\,BC is the longest side of the triangle, find the exact length of BCBCBC.
Practise Edexcel A Level Maths Trigonometric Ratios with exam-style questions for A Level Maths. 20 questions covering 9.1 The Cosine Rule, 9.2 The Sine Rule, 9.3 Areas of Triangles, 9.4 Solving Triangle Problems, 9.5 Graphs of Sine, Cosine and Tangent, and 9.6 Transforming Trigonometric Graphs, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 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.
