Question

How do you convert the Cartesian coordinates (1 , sqrt(3)) to polar coordinates?

Answer 1

`r=2` and `theta=pi/3` OR simply
`(2, pi/3)`

Explanation:

give `x=1` and `y=sqrt3`

`r=sqrt(x^2+y^2)=sqrt(1^2+sqrt3^2)=sqrt4=2`

`theta=tan^-1(y/x)=tan^-1(sqrt3/1)=pi/3`

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