7.4 Simplifying a cos x +- b sin x

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The displacement $d$ of a mechanical oscillator is modeled by the equation $\cos(1.5t) - 4.0 \sin(1.5t)$ where $d$ is measured in millimetres and $t$ is time in seconds. To analyze the peak amplitude of the oscillation, the expression is rewritten in the form $\cos(1.5t + \alpha)$ , where $R > 0$ .

Find the value of $R$ .

Circle the correct answer from the options below:

$3.1$ $\qquad$ $4.05$ $\qquad$ $4.1$ $\qquad$ $4.9$

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7.4 Simplifying a cos x +- b sin x Questions

Practise Edexcel A Level Maths 7.4 Simplifying a cos x +- b sin x with exam-style questions for A Level Maths. 19 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.