What are the components of the vector between the origin and the polar coordinate $(1, (-3pi)/4)$ ?

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What are the components of the vector between the origin and the polar coordinate $(1, (-3pi)/4)$ ?

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Answer 1 · 2016-01-18T01:27:37

The coordinate is on the unit circle ( $r=1$ ). Specifically, it is at $(-3pi)/4$ or $-135^o$ . Now, use a unit circle to identify the x and y coordinates ...

Explanation:

$-135^o=225^o$ , so $x=y=(-sqrt2)/2$

Component Vector $=<(-sqrt2)/2, (-sqrt2)/2>$

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What are the components of the vector between the origin and the polar coordinate $(1, (-3pi)/4)$ ?

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Explanation:

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What are the components of the vector between the origin and the polar coordinate $(1, (-3pi)/4)$ ?