SOLUTION: Find all solutions 4sin^(2)x - 4sin(x) + 1 = 0

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Question 1155030: Find all solutions
4sin^(2)x - 4sin(x) + 1 = 0

Answer by ikleyn(52884) About Me  (Show Source):
You can put this solution on YOUR website!
.

It is equivalent to THIS equation


    %282sin%28x%29-1%29%5E2 = 0


which, in turn, is equivalent to


    sin(x) = 1%2F2,


having the roots


    x = pi%2F6 + 2k%2Api,  k = 0, +/-1, +/-2, . . . 

and/or

    x = 5pi%2F6 + 2k%2Api,  k = 0, +/-1, +/-2, . . . 

Solved.