Question

How do you convert the polar coordinate (-2, 0.5236) into cartesian coordinates?

Answer 1

Polar coordinates are `(-1.732,-1)`

Explanation:

Polar coordinates `(r,theta)` can be converted into Cartesian coordinates `(x,y)` using relation

`x=rcostheta` and `y=rsintheta`

Assuming that in `theta=0.5236` angle is given in radians and although `r` is positive, let its negative value indicate negative or opposite direction.

`x=(-2)xxcos0.5236=-2xx0.866=-1.732`

and `y=(-2)xxsin0.5236=-2xx0.5=-1`

Hence, polar coordinates are `(-1.732,-1)`