SOLUTION: Find ALL the solutions to the given equation. Let k be any integer. Round terms to three decimal places where appropriate. (tan^2 theta - 9)(2 cos theta + 1) = 0

Algebra ->  Trigonometry-basics -> SOLUTION: Find ALL the solutions to the given equation. Let k be any integer. Round terms to three decimal places where appropriate. (tan^2 theta - 9)(2 cos theta + 1) = 0      Log On


   



Question 1002387: Find ALL the solutions to the given equation. Let k be any integer. Round terms to three decimal places where appropriate.
(tan^2 theta - 9)(2 cos theta + 1) = 0

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
tan^2 theta=9
tan theta=+/-3
2 cos theta= -1
cos theta= -1/2
On (0,2 pi), theta= 71.565 degrees, 108.435 degrees, 251.565 degrees, and 288.435 degrees (from the tan).
theta=is 120 and 240 degrees (from the cos).