SOLUTION: find all the values of x in the interval [0,2pi] that satisfy the equation (cos x)^2 + sin x-1 = 0

Question 1004096: find all the values of x in the interval [0,2pi] that satisfy the equation (cos x)^2 + sin x-1 = 0
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
find all the values of x in the interval [0,2pi] that satisfy the equation
(cos x)^2 + sin x-1 = 0
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(1-sin^2(x)) + sin(x) - 1 = 0
----
Rearrange::
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sin^2(x) - sin(x) = 0
--
Factor:
sin(x)[sin(x)-1] = 0
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sin(x) = 0 or sin(x) = 1
----
x = 0, or x = pi/2
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Cheers,
Stan H.
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