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Exercise 2, Question 5
$\\int_{-\\pi}^{\\pi} \\cos2x\\cos3x \\space dx = 0 $
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", "marks": 0}, {"scripts": {}, "customMarkingAlgorithm": "", "variableReplacements": [], "useCustomName": true, "unitTests": [], "extendBaseMarkingAlgorithm": true, "type": "information", "showFeedbackIcon": true, "showCorrectAnswer": true, "customName": "(c)", "adaptiveMarkingPenalty": 0, "variableReplacementStrategy": "originalfirst", "prompt": "$\\frac{d\\,\\cos z}{dz} = \\sinh z$
", "marks": 0}, {"scripts": {}, "customMarkingAlgorithm": "", "variableReplacements": [], "useCustomName": true, "unitTests": [], "extendBaseMarkingAlgorithm": true, "type": "information", "showFeedbackIcon": true, "showCorrectAnswer": true, "customName": "(d)", "adaptiveMarkingPenalty": 0, "variableReplacementStrategy": "originalfirst", "prompt": "$\\cosh^2 z - \\sinh^2 z = 1$
", "marks": 0}], "statement": "Express the trigonometric and hyperbolic functions in exponential form and show that the following equations hold.
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