Question

How do you convert `rsinθ=10` into a rectangular equations?

Answer 1

`y=10`

Explanation:

You need to know these coordinate conversions between Cartesian and polar coordinates:

`x=r\cos\theta`

`y=r\sin\theta`

`r=\pm\sqrt{x^2+y^2}`

`tan\theta=y/x`

The last two equations have some ambiguity because the polar coordinates `(r,\theta)` and `(-r,\theta+180°)` correspond to the same point in the coordinate plane.