The diagram shows the quadrilateral ABCDABCDABCD.
AB=5AB = 5AB=5 cm, BC=8BC = 8BC=8 cm, angle ABC=60°ABC = 60°ABC=60°, angle ACD=75°ACD = 75°ACD=75° and angle ADC=60°ADC = 60°ADC=60°.
Show that AC=7AC = 7AC=7 cm.
Find the exact length of CDCDCD.
317 exam-style questions on AQA A Level Maths 1.8 E: Trigonometry, covering 1.8.1 Trigonometric definitions, rules and radians, 1.8.2 Small angle approximations (A-level only), 1.8.3 Trigonometric functions and exact values, 1.8.4 Reciprocal and inverse trigonometric functions (A-level only), 1.8.5 Trigonometric identities, 1.8.6 Compound and double angle formulae (A-level only), 1.8.7 Solving trigonometric equations, 1.8.8 Proofs with trigonometric identities, and 1.8.9 Trigonometry in context. Each one has a worked solution and a mark scheme showing where the marks go.