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:

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

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:

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

3 Unit A2 1: Pure Mathematics (A-level only)

Question 186

Markscheme

3 Unit A2 1: Pure Mathematics (A-level only)

Question 186

Markscheme

3 Unit A2 1: Pure Mathematics (A-level only)

Question 186

3 Unit A2 1: Pure Mathematics (A-level only) Questions

3 Unit A2 1: Pure Mathematics (A-level only)

Question 186

3 Unit A2 1: Pure Mathematics (A-level only) Questions