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

1 Answer
Trevor Ryan.
Dec 29, 2015

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.

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