What are all the exact solutions of -3tan^2x+1=0? Give your answers in radians. Question What are all the exact solutions of -3tan^2x+1=0? Give your answers in radians. in progress 0 Math Gabriella 2 weeks 2021-11-07T07:45:42+00:00 2021-11-07T07:45:42+00:00 1 Answer 0 views 0

## Answers ( )

Answer:x = ±π/6 +kπ . . . for any integer k

Step-by-step explanation:Solving for x, we have …

1 = 3tan(x)² . . . . . add 3tan(x)²

±√(1/3) = tan(x) . . . divide by 3, take the square root

x = arctan(±√(1/3)) +kπ . . . . use the inverse function to find x

x = ±π/6 +kπ