In triangle ABCABCABC, AB=8 cmAB = 8 \text{ cm}AB=8 cm and angle B=45∘B = 45^\circB=45∘
Given AC=7 cmAC = 7 \text{ cm}AC=7 cm, verify that the two possible values for angle C C\,C are 53.9∘ 53.9^\circ\,53.9∘ and 126.1∘126.1^\circ126.1∘, correct to 1 decimal place.
Given instead that the area of the triangle is 552 cm255\sqrt{2} \text{ cm}^2552 cm2, verify that BC=27.5 cmBC = 27.5 \text{ cm}BC=27.5 cm.
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.