Question

3cosΦ- 4sinΦ= 2cosΦ+sinΦ find tanΦ​

Answer 1

Its easy just do addition and substraction

Answer 2

●First let us simplify the given equation:-

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

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

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

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