SOLUTION: square root3 •cos theta - sin theta is positivw and €(-π,π)the value of theta lies in

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Question 1105433: square root3 •cos theta - sin theta is positivw and €(-π,π)the value of theta lies in
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt(3)•cos theta - sin theta > 0
sqrt(3) - tan(t) > 0
sqrt(3) > tan(t)
tan(t) < sqrt(3)
t < pi/6

Answer by ikleyn(52906) About Me  (Show Source):
You can put this solution on YOUR website!
.
sqrt%283%29%2Acos%28theta%29-+sin%28theta%29 > 0  ====>


tan%28theta%29 < sqrt%283%29  ====>


In the given domain, the solution to this inequality is


-pi%2F2 <  theta < pi%2F3  OR  -pi < theta < -2pi%2F3.