A point has rectangular coordinates x y 512 Express in pola

A point has rectangular coordinates (x, y) = (-5,12). Express in polar coordinates (r,theta). Give theta in both radians and degrees. b) Write the polar equation using rectangular coordinates: r = -1/1+sin theta c) Write the rectangular equation using polar coordinates: 2xy^2 = 3

Solution

(-5,12)

x = r cos theta

y = r sin theta

r = sqrt (x^2+y^2) = sqrt ( 25 + 144) = 13

theta = tan^-1 (y/x) = -67.38 degrees

(r,theta ) = ( 13 , -67.38 degrees )