SOLUTION: Find all solutions to the equation. 7 sin2x - 14 sin x + 2 = -5

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Question 1021352: Find all solutions to the equation.
7 sin2x - 14 sin x + 2 = -5
Answer by ikleyn(52855) About Me  (Show Source):
You can put this solution on YOUR website!
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Find all solutions to the equation.
7 sin2x - 14 sin x + 2 = -5
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7%2Asin%5E2%28x%29+-+14%2Asin+x+%2B+2 = -5  --->  7%2Asin%5E2%28x%29+-+14%2Asin+x+%2B+7 = 0  --->  7%2A%28sin%5E2%28x%29+-+2%2Asin+x+%2B+1%29 = 0  --->  

%28sin%5E2%28x%29+-+2%2Asin+x+%2B+1%29 = 0  --->  %28sin%28x%29-1%29%5E2 = 0}  --->  sin%28x%29-1 = 0  --->  sin(x) = 1  --->


x = pi%2F2  + 2%2Ak%2Api, k = 0, +/-1, +/-2 . . .