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

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Question 1115504: 7 sin^2 x - 14 sin x + 2 = -5
Find all solutions to the equation.

Answer by ikleyn(52835) About Me  (Show Source):
You can put this solution on YOUR website!
.
7 sin^2 x - 14 sin x + 2 = -5  ====>


7*sin^2(x) - 14*sin(x) + 7 = 0  ====>


sin^2(x) - 2*sin(x) + 1 = 0  ====>


%28sin%28x%29-1%29%5E2 = 0  <====>


sin(x) = 1  <====>  x = pi%2F2%2B2%2Ak%2Api,  k = any integer 0, +/-1, +/-2, . . . 

Solved.