Question

If 3 cos theta - 4 sin theta is equal to 2 cos theta + sin theta then find 10 theta

Answer 1

Answer:

$3 \cos( \alpha ) - 4 \sin( \alpha ) = 2 \cos( \alpha ) + \sin( \alpha )$

$\cos( \alpha ) = 5 \sin( \alpha )$

$\tan( \alpha ) = \frac{1}{5}$