document.write( "Question 504472: Use algebra to find all angles theta between 0 and 2pie radians that satisfy the equation cos^2 x = sin x . Give your answer in radians. \n" ); document.write( "

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Use algebra to find all angles theta between 0 and 2pie radians that satisfy the equation cos^2 x = sin x . Give your answer in radians.
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\n" ); document.write( "cos^2 x = sin x
\n" ); document.write( "1-sin^2x=sinx
\n" ); document.write( "sin^2x+sinx-1=0
\n" ); document.write( "solve for sin x using following quadratic formula:
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( "a=1, b=1, c=-1
\n" ); document.write( "sinx=[-1ą√(1-4*1*-1)]2*1
\n" ); document.write( "sinx=[-1ą√5]/2
\n" ); document.write( "sinx=-1.618(reject, not in range)
\n" ); document.write( "or
\n" ); document.write( "sin x=.618
\n" ); document.write( "x=.67 and 2.48 radians in quadrants I and II where sin is positive. \n" ); document.write( "

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