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7.4 Simplifying a cos x +- b sin x

Question 1

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:

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

[1]

Markscheme

7.4 Simplifying a cos x +- b sin x Questions

A Level
Maths
7.4 Simplifying a cos x +- b sin x

19 exam-style questions on Edexcel A Level Maths 7.4 Simplifying a cos x +- b sin x. Each one has a worked solution and a mark scheme showing where the marks go.

7.4 Simplifying a cos x +- b sin x

Question bank

7.4 Simplifying a cos x +- b sin x

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Question 1

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:

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

[1]

Markscheme

7.4 Simplifying a cos x +- b sin x Questions

A Level
Maths
7.4 Simplifying a cos x +- b sin x

19 exam-style questions on Edexcel A Level Maths 7.4 Simplifying a cos x +- b sin x. Each one has a worked solution and a mark scheme showing where the marks go.