document.write( "Question 278379: Give the polar coordinates: (0, -3). \n" ); document.write( "
Algebra.Com's Answer #202578 by Theo(13342)![]() ![]() You can put this solution on YOUR website! a point in polar coordinates is expressed as (r,T) where:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "r = the radius of the circle.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "T = the angle.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "T can be expressed in degrees or in radians.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In your problem, the point is (0,-3).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The x value is equal to 0 and the y value is equal to -3.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This makes r = sqrt(x^2 + y^2) = sqrt (9) = 3.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The angle equals arcTan (y/x) = arcTan (-3/0) = arcTan (- infinity) = 270 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the polar coordinates are (3,270) where T is expressed in degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This is equivalent to (3,4.71238898) where T is expressed in radians.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To convert from radians to degrees, multiply by 180 / pi.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To convert from degrees to radians, multiply by pi / 180.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |