Answer to Question #275725 in Analytic Geometry for Rohosafi

Question

Change the following point from rectangular to polar coordinate

‐ Square root of 3,2

Ii.change the following point from polar to rectangular coordinate

(3/2, n/12)

Answer 1

1)

$r=\sqrt{\sqrt{3}^2+2^2}=\sqrt{7}\\ \phi=atan(\frac{2}{\sqrt{3}})\\(\sqrt{3},2)\rarr(\sqrt{7},atan(\frac{2}{\sqrt{3}}))$

2)

$x=r\cdot cos(\phi)=\frac{3}{2}\cdot cos(\frac{\pi}{12})$

$y=r\cdot sin(\phi)=\frac{3}{2}\cdot sin(\frac{\pi}{12})$

$(\frac{3}{2},\frac{\pi}{12})\rarr (\frac{3}{2}\cdot cos(\frac{\pi}{12}),\frac{3}{2}\cdot sin(\frac{\pi}{12}))$