document.write( "Question 676476: sin^2x* cosx-sinx=0 \n" ); document.write( "
Algebra.Com's Answer #420370 by khurshidi(7)![]() ![]() You can put this solution on YOUR website! sin^2x* cosx-sinx=0\r \n" ); document.write( "\n" ); document.write( "Solution:\r \n" ); document.write( "\n" ); document.write( "Sin^2x * Cosx - Sinx = 0 -------->(1)\r \n" ); document.write( "\n" ); document.write( "Taking Sinx the common from (1)\r \n" ); document.write( "\n" ); document.write( "Sinx(Sinx * Cosx - 1) = 0\r \n" ); document.write( "\n" ); document.write( "If two factors are equal to zero then each factor will equal to be zero.\r \n" ); document.write( "\n" ); document.write( "i.e.\r \n" ); document.write( "\n" ); document.write( "Sinx = 0 ---------> (2)\r \n" ); document.write( "\n" ); document.write( "and\r \n" ); document.write( "\n" ); document.write( "Sinx * Cosx -1 = 0 -------->(3)\r \n" ); document.write( "\n" ); document.write( "From (2)\r \n" ); document.write( "\n" ); document.write( "x = Sin^-1(0)\r \n" ); document.write( "\n" ); document.write( "or \r \n" ); document.write( "\n" ); document.write( "x = 0\r \n" ); document.write( "\n" ); document.write( "From (3)\r \n" ); document.write( "\n" ); document.write( "Sinx * Cosx = 1\r \n" ); document.write( "\n" ); document.write( "or\r \n" ); document.write( "\n" ); document.write( "Sinx = 1/Cosx\r \n" ); document.write( "\n" ); document.write( "or\r \n" ); document.write( "\n" ); document.write( "x = Sin^-1(1/Cosx)\r \n" ); document.write( "\n" ); document.write( "or\r \n" ); document.write( "\n" ); document.write( "x = Cos^-1(1/Sinx)\r \n" ); document.write( "\n" ); document.write( "Thus\r \n" ); document.write( "\n" ); document.write( "x = 0 , Sin^-1(1/Cosx)OR Cos^-1(1/Sinx)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hope the answer your question \n" ); document.write( "Regards \n" ); document.write( "Khurshidi \n" ); document.write( "http://sscom.netai.net \n" ); document.write( "http://facebook.com/SSCOMMathemagics \n" ); document.write( " |