In triangle ABCABCABC, AB=12 cmAB = 12 \text{ cm}AB=12 cm and angle B=40∘B = 40^\circB=40∘
Given AC=10 cmAC = 10 \text{ cm}AC=10 cm, find the two possible values for angle CCC, correct to 1 decimal place.
Given instead that the area of the triangle is k2 cm2k\sqrt{2} \text{ cm}^2k2 cm2, find BC BC\,BC in terms of kkk.
217 exam-style questions on Edexcel A Level Maths Trigonometric Ratios, 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. Each one has a worked solution and a mark scheme showing where the marks go.