Trigonometry and Modelling

Given that

\cos \theta - 12 \sin \theta \equiv R \cos(\theta + \alpha)

find the value of $R$ , where $R > 0$ .

Circle the correct answer from the options below:

$5$ $\qquad$ $7$ $\qquad$ $13$ $\qquad$ $17$

[2]

Given that

\cos \theta - 12 \sin \theta \equiv R \cos(\theta + \alpha)

find the value of $R$ , where $R > 0$ .

Circle the correct answer from the options below:

$5$ $\qquad$ $7$ $\qquad$ $13$ $\qquad$ $17$

[2]

Trigonometry and Modelling Questions