SOLUTION: Use a graphing utility to approximate the solutions of the equation in the interval[0, 2pi]. If possible find the exact solutions algebraically. Enter your answers as a common sepa

Algebra ->  Trigonometry-basics -> SOLUTION: Use a graphing utility to approximate the solutions of the equation in the interval[0, 2pi]. If possible find the exact solutions algebraically. Enter your answers as a common sepa      Log On


   

Question 1026040: Use a graphing utility to approximate the solutions of the equation in the interval[0, 2pi]. If possible find the exact solutions algebraically. Enter your answers as a common separated list. 2 sin 2x sin x=2 cos x
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
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2sin%282x%29sin%28x%29=2cos%28x%29
sin%282x%29sin%28x%29=cos%28x%29
2sin%5E2%28x%29cos%28x%29=cos%28x%29
2sin%5E2%28x%29=1
sin%5E2%28x%29=1%2F2
So,
sin%28x%29=sqrt%282%29%2F2
and
sin%28x%29=-sqrt%282%29%2F2
I leave it to you to solve for x and verify that these are the same solutions as the graph.