document.write( "Question 720972: Solve all equations for (0, 2pi)\r
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document.write( "sin(x + (pi/4)) + sin(x - (pi/4)) = 1
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Algebra.Com's Answer #442149 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Solve all equations for (0, 2pi) \n" ); document.write( "sin(x + (pi/4)) + sin(x - (pi/4)) = 1 \n" ); document.write( "*** \n" ); document.write( "Using sin addition identities: \n" ); document.write( "sin(x+π/4)=sinxcos(π/4)+cosxsin(π/4) \n" ); document.write( "sin(x-π/4)=sinxcos(π/4)-cosxsin(π/4) \n" ); document.write( "sinxcos(π/4)+cosxsin(π/4)+sinxcos(π/4)-cosxsin(π/4)=1 \n" ); document.write( "2sinxcos(π/4)=1 \n" ); document.write( "2sinx√2/2=1 \n" ); document.write( "sinx=1/√2=√2/2 \n" ); document.write( "x=π/4, 3π/4 (in quadrants I and II where sin>0) \n" ); document.write( " |