Express $3 \sin \theta - 5 \cos \theta$ in the form of $R \sin(\theta - \alpha)$ where \(\a

Question

Express $3 \sin \theta - 5 \cos \theta$ in the form of $R \sin(\theta - \alpha)$ where $\alpha$ is in radians.

Accepted Answer

$\sqrt{34}\sin(\theta-1.03)$

Trigonometry - R-Formula and Trigonometric Extrema