document.write( "Question 1113135: can someone help please? Convert the point (-6,-6) from rectangular form to polar form. Thank you. \n" ); document.write( "
Algebra.Com's Answer #728184 by Theo(13342)![]() ![]() You can put this solution on YOUR website! your coordinates in rectangular form are (x,y) = (-6,-6)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your coordinates in polar form are (r, theta), where r is the length of the hypotenuse of the right triangle formed and theta is the angle formed by r and the x-coordinate.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if you draw your coordinate point, it will look like this:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "AC is the hypotenuse of the triangle formed.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the triangle formed is either ABC or ADC.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the angle we are looking for is the angle between AC and the x-coordinate.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that would be angle BAC.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since the length of AB and the length of BC are the same, you have an isosceles right triangle.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that makes angle BAC = 45 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "45 degrees is the reference angle of an angle in the third quadrant.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the angle in the third quadrant formed by the reference angle of 45 degrees is equal to 180 + 45 = 225 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "here's my picture.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "here's a reference that might be helpful.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "https://www.mathsisfun.com/polar-cartesian-coordinates.html\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |