What are the components of the vector between the origin and the polar coordinate #(-1, (7pi)/12)#?

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What are the components of the vector between the origin and the polar coordinate #(-1, (7pi)/12)#?

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Answer 1 · 2018-07-09T21:52:55

The components of vector between origin & the point #(r, \theta)\equiv(-1, {7\pi}/12)# along the coordinate axes x& y respectively are given as follows

#r\cos\theta=-1\cos({7\pi}/12)=\frac{\sqrt3+1}{2\sqrt2}=0.25881904510252085#

#r\sin\theta=-1\sin({7\pi}/12)=-\frac{\sqrt3-1}{2\sqrt2}#
#=-0.9659258262890683#

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What are the components of the vector between the origin and the polar coordinate #(-1, (7pi)/12)#?

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