SOLUTION: Find all values of x in the interval [0, 2π] that satisfy the given equation. (Enter your answers as a comma-separated list.) (cos x)^2 + 10 sin x + 10 = 0

Algebra ->  Trigonometry-basics -> SOLUTION: Find all values of x in the interval [0, 2π] that satisfy the given equation. (Enter your answers as a comma-separated list.) (cos x)^2 + 10 sin x + 10 = 0      Log On


   

Question 873529: Find all values of x in the interval [0, 2π] that satisfy the given equation. (Enter your answers as a comma-separated list.)
(cos x)^2 + 10 sin x + 10 = 0
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
%281-%28sin%28x%29%29%5E2%29%2B10sin%28x%29%2B10=0
-sin%5E2%28x%29%2B10sin%28x%29%2B11=0
sin%5E2%28x%29-10sin%28x%29-11=0
%28sin%28x%29%2B1%29%28sin%28x%29-11%29=0, Now factored quadratic equation, so sin(x) easily solvable.