Question

If 3cos – 4 sin = 2cos + sin, then what is the value of tan?

Answer 1

$\huge \orange{ \boxed{ \underline{Solution➰}}}$

$3 \cos - 4 \sin = 2 \cos + \sin \\ 3 \cos - 2 \cos = \sin + 4 \sin \\ \cos = 5 \sin \\ \frac{ \cos \:theta}{cos \: theta} = \frac{5 \sin \: theta }{ \cos \: theta } \\ 1 = 5 \tan theta \\ \tan theta = 1$