5sinx=5sqrt(3)cosx 0<x<2pi What are all possible solutions in radians?

1 Answer

valid for
theta=pi/3,pi+(pi/3)

Explanation:

Given:
5sinx=5sqrt3cosx

5sinx/cosx=(5sqrt3)cosx/cosx

sinx/cosx-=tanx

tanx=sqrt3

tan(pi/3)=sqrt3

tan is positive in first and third quadrant
valid for
theta=pi/3,pi+(pi/3)