Question

Convert the following equation to polar coordinates. y = 6/x The polar from of y = 6/x is

Answer 1

`r=√(6/sinucosu)`

Explanation:

To convert to polar form:

`x=rcosu`

`y=rsinu`

We substitute into our function:

`y=6/x`

`rsinu=6/rcosu`

multiply both sides by r:

`r^2sinu=6/cosu`

solve for r by dividing by sinu:

`r=√(6/sinucosu)`