Solve the following equation

Question

Solve the following equation

2 sin^2 x = 6 cos^2x

Answer 1

2 Sin²X = 6 Cos² X

Dividing by 2

Sin²X = 3 Cos²X

Divide by Cos²X

tan² X = 3

tan X = √3

X = arc tan (√3 ) or tan^-1 √3

X = 60 degree or pi/3 radian