Question

What are the components of the vector between the origin and the polar coordinate `(1, (-3pi)/4)`?

Answer 1

The coordinate is on the unit circle (`r=1`). Specifically, it is at `(-3pi)/4` or `-135^o`. Now, use a unit circle to identify the x and y coordinates ...

Explanation:

`-135^o=225^o`, so `x=y=(-sqrt2)/2`

Component Vector `=<(-sqrt2)/2, (-sqrt2)/2>`

Hope that helped