How do you change the polar coordinate $(4, 45^{o})$ $(4,45^o)$ into rectangular coordinates?

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How do you change the polar coordinate $(4, 45^{o})$ $(4,45^o)$ into rectangular coordinates?

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Answer 1 · 2016-11-02T13:37:25

The rectangular coordinates are $(2 \sqrt{2}, 2 \sqrt{2})$ $(2sqrt2,2sqrt2)$

Explanation:

If the polar coordinates are $(r . θ)$ $(r.theta)$
the the rectangular coordinates are
$x = r cos θ$ $x=rcostheta$
and $y = r sin θ$ $y=rsintheta$
So here we have
$x=4cos45º=4*sqrt2/2=2sqrt2$
and $y=4sin45º=4*sqrt2/2=2sqrt2$

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How do you change the polar coordinate $(4, 45^{o})$ $(4,45^o)$ into rectangular coordinates?

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Explanation:

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How do you change the polar coordinate (4,45^o)(4,45o)(4,45^o) into rectangular coordinates?

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How do you change the polar coordinate $(4, 45^{o})$ $(4,45^o)$ into rectangular coordinates?