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
Gabriella 2 weeks 2021-11-07T07:45:42+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-11-07T07:47:36+00:00

    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

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )