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

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

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Answer 1 · 2015-12-29T18:46:18

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

1 Answer

Explanation:

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