What are the components of the vector between the origin and the polar coordinate $(5, (-11pi)/6)$ ?

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Answer 1 · 2018-01-27T11:18:43

We can use $x=rcos(theta)$ and $y=rsin(theta)$ to convert to the polar point to rectangular:

$x=5cos(-(11pi)/6)=5(sqrt(3)/2)=(5sqrt(3))/2$
$y=5sin(-(11pi)/6)=5(1/2)=(5)/2$

So the rectangular form is $( (5sqrt(3))/2, (5)/2 )$ .

Since we're talking about the component form of the vector, the initial point is $(0,0)$ .

The component form of the vector is $[(5sqrt(3))/2, (5)/2 ]$ .

What are the components of the vector between the origin and the polar coordinate (5, (-11pi)/6)(5, (-11pi)/6)?