document.write( "Question 928243: Solve the equation sin(theta)+cos(theta)= 2(sin(theta)- cos(theta)), for 0\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #563542 by lwsshak3(11628) $\"\"$ $\"About$

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Solve the equation sin(theta)+cos(theta)= 2(sin(theta)- cos(theta)), for 0\n" ); document.write( "***
\n" ); document.write( "sinx+cosx=2sinx-cosx
\n" ); document.write( "2cosx-sinx=0
\n" ); document.write( "2cosx=sinx
\n" ); document.write( "2cosx=√(1-cos^2(x))
\n" ); document.write( "4cos^2(x)=1-cos^2(x)
\n" ); document.write( "5cos^2(x)-1=0
\n" ); document.write( "cos^2(x)=1/5
\n" ); document.write( "cosx=ą√(1/5)
\n" ); document.write( "x≈63.43˚, -116.57˚,-243.43˚, 296.57˚ \n" ); document.write( "

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