SOLUTION: find the smallest positive number x such that sin^2(x)-4 sin x+1=0

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Question 822503: find the smallest positive number x such that
sin^2(x)-4 sin x+1=0
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
find the smallest positive number x such that
sin^2(x)-4 sin x+1=0
solve for sin(x) using quadratic formula:
sinx+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
a=1, b=-4, c=1
ans:
sinx≈0.2679
x≈0.2712
or
sinx≈3.732(reject, -1 < sinx < 1)