Question

What are the components of the vector between the origin and the polar coordinate `(1, (5pi)/8)`?

Answer 1

Components of the vector between origin and polar coordinates `(1,(5pi)/8)` are `-0.3827` and `0.9239`.

Explanation:

Components of the vector between origin and polar coordinates `(r,theta)` are `rcosheta` and `rsintheta`.

Hence components of the vector between origin and polar coordinates `(1,(5pi)/8)` are

`1xxcos((5pi)/8)` and `1xxsin((5pi)/8)` or

`cos((5pi)/8)` and `sin((5pi)/8)` or

`-0.3827` and `0.9239`