document.write( "Question 824066: решить уравнения:
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document.write( "3sinˆx+sinx*cosx=2cosˆx
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document.write( "4sinx-sin2x=3 \n" );
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Algebra.Com's Answer #496062 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! 3sin(x) + sin(x)*cos(x) = 2cos(x) \n" ); document.write( "---- \n" ); document.write( "3sin(x) + sin(x)cos(x) -2cos(x) = 0 \n" ); document.write( "--- \n" ); document.write( "3sin(x) + 3sin(x)cos(x)-2sin(x)cos(x) - 2cos(x) = 0 \n" ); document.write( "----------- \n" ); document.write( "Rearrange: \n" ); document.write( "3sin(x)-2sin(x)cos(x) + 3sin(x)cos(x)-2cos(x) = 0 \n" ); document.write( "---- \n" ); document.write( "Factor: \n" ); document.write( "sin(x)[3-2cos(x)] + cos(x(3-2cos(x) = 0 \n" ); document.write( "---- \n" ); document.write( "(3-2cos(x)(sin(x)+cos(x) = 0 \n" ); document.write( "---- \n" ); document.write( "cos(x) = 3/2 (that is extraneous) \n" ); document.write( "---- \n" ); document.write( "sin(x) = -cos(x) \n" ); document.write( "x = 135 degrees or (3/4)pi radians \n" ); document.write( "======================================\r \n" ); document.write( "\n" ); document.write( "4sin(x)-sin(2x) = 3 \n" ); document.write( "----- \n" ); document.write( "Graphing I get x = 67.73.. degrees = 1.182.. radians \n" ); document.write( "=============== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |