Question

If 3cos@-4 sin@ =2cos @+sin@,

Answer 1

here is the answer hope it helps you

Answer 2

ATQ,

3cosΘ - 4sinΘ = 2cosΘ + sinΘ

3cosΘ - 2cosΘ = 4sinΘ + sinΘ

cosΘ = 5sinΘ

sinΘ/cosΘ = 1/5

∴sinΘ/cosΘ = tanΘ

tanΘ = 1/5