Solve the equation for all real values of x. 3tan^2x=3tanx

The answer to your question is x₁ = 0° and x₂ = 45°

Step-by-step explanation:

Data

3tan²x = 3tanx

Process

1. - Equal to zero

3tan²x - 3tanx = 0

2. - Factor by common factor

3tanx (tanx - 1) = 0

3. - Equal to zero each factor

3tanx = 0 tanx - 1 = 0

tanx = 0/3 tanx = 1

tanx = 0 x = 45°

x = 0°