document.write( "Question 926175: Find all solutions for, 5 sin^2(x) plus sin(x)= cos^2(x), that lie between 0 =< x =< 2pi.
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Algebra.Com's Answer #562082 by lwsshak3(11628)\"\" \"About 
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Find all solutions for, 5 sin^2(x) plus sin(x)= cos^2(x), that lie between 0 =< x =< 2pi
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\n" ); document.write( "5sin^2(x)+sinx=cos^2(x)
\n" ); document.write( "5sin^2(x)+sinx=1-sin^2(x)
\n" ); document.write( "6sin^2(x)+sinx-1=0
\n" ); document.write( "(3sinx-1)(2sinx+1)=0
\n" ); document.write( "3sinx-1=0
\n" ); document.write( "sinx=1/3
\n" ); document.write( "x≈0.34, 2.80
\n" ); document.write( "or
\n" ); document.write( "2sinx+1=0
\n" ); document.write( "sinx=-1/2
\n" ); document.write( "x=7π/6, 11π/6
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