Question

What are the components of the vector between the origin and the polar coordinate `(7, (19pi)/12)`?

Answer 1

Horizontal X-component is `1.811733`.
Vertical Y-component is `-6.76148`.

Explanation:

This is equivalent to converting the polar representation `(r,theta)` of the vector into rectangular form `(x,y)`.
This may be done via the transformations :
`x=rcostheta and y=rsintheta`.

`therefore x=7cos((19pi)/12)=1.811733`.
`y=7sin((19pi)/12)=-6.76148`.