SOLUTION: Find all solutions of the equation in the interval [0, 2𝜋). Enter solutions as a comma-separated list. No solution is also possible. 8 sec^2 x − 8 = 0

Algebra ->  Trigonometry-basics -> SOLUTION: Find all solutions of the equation in the interval [0, 2𝜋). Enter solutions as a comma-separated list. No solution is also possible. 8 sec^2 x − 8 = 0      Log On


   



Question 1179435: Find all solutions of the equation in the interval [0, 2𝜋). Enter solutions as a comma-separated list. No solution is also possible.
8 sec^2 x − 8 = 0

Answer by ikleyn(53763) About Me  (Show Source):
You can put this solution on YOUR website!
.

    8*sec^2(x) − 8 = 0


implies


    sec^2(x) = 1

    sec(x) = sqrt%281%29 = +/- 1

    cos(x) = +/- 1.


In the given interval, there are 2 solutions  x= 0  or  x= pi.    ANSWER

Solved, answered, explained and completed.