document.write( "Question 861110: Find a rectangular form of the equation r=5sinx. Thank you for your help! \n" ); document.write( "
| Algebra.Com's Answer #518846 by stanbon(75887)      You can put this solution on YOUR website! Find a rectangular form of the equation r=5sinx. Thank you for your help! \n" ); document.write( "------- \n" ); document.write( "Conversion equations: \n" ); document.write( "r = sqrt(x^2+y^2) \n" ); document.write( "theta = arctan(y/x) \n" ); document.write( "---------------------------- \n" ); document.write( "Your Problem: r = 5*sin(theta) \n" ); document.write( "------- \n" ); document.write( "sqrt(x^2+y^2) = sin(arctan(y/x)) \n" ); document.write( "----- \n" ); document.write( "Note: sin(arctan(y/x) = y/sqrt(x^2+y^2) \n" ); document.write( "===== \n" ); document.write( "So, sqrt(x^2+y^2) = y/sqrt(x^2+y^2) \n" ); document.write( "-------------------------- \n" ); document.write( "x^2 + y^2 = y \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "-------------------\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |