Question

What is the Cartesian form of `(45,(-pi)/8)`?

Answer 1

`(45cos(pi/8),-45sin(pi/8))`

Explanation:

If you write this in trigonometric/exponential form, you have `45e^(-ipi/8)`.

`45e^(-ipi/8) = 45(cos(-pi/8) + isin(-pi/8)) = 45(cos(pi/8) - isin(pi/8))`.

I don't think `pi/8` is a remarkable value so maybe we can't do better than that.