Solve the equation.

Question

(tan^2)3x=3

Answer 1

Tan^2(3x) = 3

Apply square root on both sides of the equation

tan 3x = + sqrt(3) or -sqrt(3)= tan(π /3) or - tan(π/3)

Apply inverse tangent to both sides of equation

3x = π/3 + kπ or -π/3 + kπ where k is integer

Divide both sides by 3

x = π/9 + kπ/3 or -π/9 + kπ/3 which implies

x = ±π/9 + kπ/3