​ Find the Cartesian co-ordinates of the point whose polar co-ordinates are : (1/2, 7π/3) ​

Question

Find the Cartesian co-ordinates of the point whose polar co-ordinates are :

\(\left(\cfrac{1}{2},\cfrac{7\pi}{3}\right)\)
(1/2, 7π/3)

Answer 1

Let the cartesian coordinates be (x, y)

∴ the cartesian coordinates of the given point are \(\left(\cfrac{1}{4},\cfrac{\sqrt{3}}{4}\right)\).