document.write( "Question 422033: I'm Stumped. Solve each equation on the indicated interval. Find EXACT answer\r
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document.write( "Sin(2Θ)Sin(Θ)= Cos(Θ), 0≤Θ<2π \n" );
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Algebra.Com's Answer #294767 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Sin(2Θ)Sin(Θ)= Cos(Θ), 0≤Θ<2π \n" ); document.write( "=Sin(2x)Sin(x)= Cos(x), 0≤x<2Pi \n" ); document.write( "=2sinxcosxsinx=cosx \n" ); document.write( "=2sin^2xcosx-cosx=0 \n" ); document.write( "=cosx(2sin^2x-1)=0 \n" ); document.write( "cosx=0 \n" ); document.write( "x=pi/2 or 3pi/2 \n" ); document.write( ".. \n" ); document.write( "2sin^2x-1=0 \n" ); document.write( "sin^2x=1/2 \n" ); document.write( "sin^2x-1/2=0 \n" ); document.write( "(sinx-1/sqrt2)(sinx+1/sqrt2)=0 \n" ); document.write( "sinx-1/sqrt2=0 \n" ); document.write( "sinx=1/sqrt2 \n" ); document.write( "x=pi/4 or 3pi/4\r \n" ); document.write( "\n" ); document.write( "..\r \n" ); document.write( "\n" ); document.write( "sinx+1/sqrt2=0 \n" ); document.write( "sinx=-1/sqrt2 \n" ); document.write( "x=5pi/4 or 7pi/4\r \n" ); document.write( "\n" ); document.write( ".. \n" ); document.write( "ans: \n" ); document.write( "x=pi/2 or 3pi/2 \n" ); document.write( "x=pi/4 or 3pi/4 \n" ); document.write( "x=5pi/4 or 7pi/4\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |