document.write( "Question 1004096: find all the values of x in the interval [0,2pi] that satisfy the equation (cos x)^2 + sin x-1 = 0 \n" ); document.write( "
Algebra.Com's Answer #620662 by stanbon(75887)\"\" \"About 
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find all the values of x in the interval [0,2pi] that satisfy the equation
\n" ); document.write( "(cos x)^2 + sin x-1 = 0
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\n" ); document.write( "(1-sin^2(x)) + sin(x) - 1 = 0
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\n" ); document.write( "Rearrange::
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\n" ); document.write( "sin^2(x) - sin(x) = 0
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\n" ); document.write( "Factor:
\n" ); document.write( "sin(x)[sin(x)-1] = 0
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\n" ); document.write( "sin(x) = 0 or sin(x) = 1
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\n" ); document.write( "x = 0, or x = pi/2
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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