Question

Question #b4e7b

Answer 1

`sin(x+30^@)=3cosx`

`=>sinxcos30+cosx xx sin30==3cosx`

`=>sqrt3/2sinx+1/2cosx=3cosx`

`=>sqrt3sinx+cosx=6cosx`

`=>sqrt3sinx=5cosx`

`=>tanx=5/sqrt3=tanalpha`,
where `alpha=tan^-1(5/sqrt3)=70.89^@=1.23rad`

So

`x=npi+alpha" where n "in ZZ`