What are the components of the vector between the origin and the polar coordinate $(1, \frac{π}{3})$ $(1, pi/3)$ ?

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Answer 1 · 2016-04-02T16:47:06

$(\frac{1}{2}, \frac{\sqrt{3}}{2})$ $( 1/2, sqrt3/2 )$

The vector components of radius vector from the origin to ( t, $θ)$ $theta )$ are $(r cos θ, r sin θ)$ $( r cos theta, r sin theta )$ .

Here, r = 1 and $θ = \frac{π}{3} = 60^{o}$ $theta=pi/3 = 60^o$ .

What are the components of the vector between the origin and the polar coordinate (1, pi/3)(1,π3)(1, pi/3)?