Express $2 \cos \theta - 5 \sin \theta$ in the form of $R \cos(\theta + \alpha)$ where \(\a

Question

Express $2 \cos \theta - 5 \sin \theta$ in the form of $R \cos(\theta + \alpha)$ where $\alpha$ is in radians.

Accepted Answer

$\sqrt{29}\cos(\theta+1.19)$

Trigonometry - R-Formula and Trigonometric Extrema