What are the components of the vector between the origin and the polar coordinate $(- 1, \frac{7 π}{12})$ $(-1, (7pi)/12)$ ?

Question

What are the components of the vector between the origin and the polar coordinate $(- 1, \frac{7 π}{12})$ $(-1, (7pi)/12)$ ?

1 Answer

Impact of this question

1910 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-07-09T21:52:55

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

$r cos θ = - 1 cos (\frac{7 π}{12}) = \frac{\sqrt{3} + 1}{2 \sqrt{2}} = 0.25881904510252085$ $r\cos\theta=-1\cos({7\pi}/12)=\frac{\sqrt3+1}{2\sqrt2}=0.25881904510252085$

$r sin θ = - 1 sin (\frac{7 π}{12}) = - \frac{\sqrt{3} - 1}{2 \sqrt{2}}$ $r\sin\theta=-1\sin({7\pi}/12)=-\frac{\sqrt3-1}{2\sqrt2}$
$= - 0.9659258262890683$ $=-0.9659258262890683$

Science

Math

Humanities

... and beyond

What are the components of the vector between the origin and the polar coordinate $(- 1, \frac{7 π}{12})$ $(-1, (7pi)/12)$ ?

1 Answer

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

What are the components of the vector between the origin and the polar coordinate (−1,7π12)(-1, (7pi)/12)?

1 Answer

Related questions

Impact of this question

What are the components of the vector between the origin and the polar coordinate $(- 1, \frac{7 π}{12})$ $(-1, (7pi)/12)$ ?