Final answer:
To find the solutions to the given equation, set each factor equal to zero and solve for x. The angle 120° is not a solution to the equation (3tan²x-1)(3tan²x-3)=0. option B is correct answer.
Step-by-step explanation:
To find the solutions to the equation (3tan²x-1)(3tan²x-3)=0, we need to set each factor equal to zero and solve for x. So, we have two separate equations:
3tan²x-1=0
3tan²x-3=0
Simplifying each equation, we get:
tan²x=1/3
tan²x=1
The solutions to the first equation are x = 30° and x = 150°, and the solutions to the second equation are x = 45° and x = 225°. Therefore, the angle 120° is NOT a solution to the equation.