Question

What is the distance between `(4 ,( - 3pi)/4 )` and `(-2 ,( pi )/4 )`?

Answer 1

Sometimes the solution is as simple as just thinking about the problem :)

Explanation:

`(4, (-3pi)/4)` is in Quadrant III with a reference angle of `45^o` and a radius of 4 .

`(-2,pi/4)` should be in Quadrant I, but the negative 2 flips it `180^o` in Quadrant III with a radius of 2 and also with a reference angle of `45^o`

So, these two points lie on the same `theta=45^o` in Quadrant IV with a distance between them equal to `4-2=2`

Hope that helped