document.write( "Question 792524: The equation contains the measure of 2 acute angles. Find a value of €for which this statement is true. Sin x=cos 2€ \n" ); document.write( "
Algebra.Com's Answer #480036 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Sin x=cos (2x)
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\n" ); document.write( "sinx = cos^2(x)-sin^2(x)
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\n" ); document.write( "sin(x) = 1-2sin^2(x)
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\n" ); document.write( "2sin^2(x) + sin(x) - 1 = 0
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\n" ); document.write( "sin(x) = [1 +- sqrt(1-4*-1)]/2
\n" ); document.write( "sin(x) = [1+-sqrt(5)]/2
\n" ); document.write( "sin(x) = (1/2)+(1/2)sqrt(5) or sin(x) = (1/2)-(1/2)sqrt(5)
\n" ); document.write( "Only sin(x) = (1-sqrt(5))/2 has solutions.
\n" ); document.write( "sin(x) = -0.6180
\n" ); document.write( "x = sin^-1(-0.6180) = -38.17 degrees or x = 180+38.17 = 28.17
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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