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UCL Online STEP and AEA Preparation Sessions Session 12: Advanced techniques in trigonometry Recalling the graphs of trigonometric functions and being able to use trigonometric identities fluently is very important in mathematical problem-solving. Can you see why cos(2 x) cos4 x sin 4 x ? Solving problems in STEP and AEA involving trigonometry requires a high degree of fluency with identities and relationships. Many will be familiar from work in A level Mathematics but some may be less familiar. For example sin 2 2 tan 1 tan 2 Equations involving trigonometric equations such as sin x = cos y will be considered as well as the use of trigonometry in integration and differentiation. Example problem tan Solve the equation tan . 2 2