How do you convert $(1, 3 \frac{π}{4})$ $(1, 3pi / 4)$ to rectangular form?

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How do you convert $(1, 3 \frac{π}{4})$ $(1, 3pi / 4)$ to rectangular form?

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Answer 1 · 2016-03-01T21:07:20

$x = r cos θ = 1 \cdot cos (\frac{3 π}{4}) = - \frac{1}{\sqrt{2}}$ $x=rcostheta = 1*cos((3pi)/4) =-1/sqrt2$
$y = r sin θ = 1 \cdot sin (\frac{3 π}{4}) = \frac{1}{\sqrt{2}}$ $y=rsintheta = 1*sin ((3pi)/4)=1/sqrt2$

Explanation:

To change from polar to rectangular use the formulas x = r cos theta and y = r sin theta then simplify.

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How do you convert $(1, 3 \frac{π}{4})$ $(1, 3pi / 4)$ to rectangular form?

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