How do you convert $(6, \frac{π}{4})$ $(6, pi/4)$ into rectangular coordinates?

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How do you convert $(6, \frac{π}{4})$ $(6, pi/4)$ into rectangular coordinates?

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Answer 1 · 2018-07-09T05:52:57

$(x, y) = (3 \sqrt{2}, 3 \sqrt{2}) or (4.2426, 4.2426)$ $color(purple)((x,y) = (3 sqrt2, 3sqrt2) " or " (4.2426, 4.2426)$

Explanation:

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$Given (r, θ) = (6, \frac{π}{4})$ $"Given " (r, theta) = (6, pi/4)$

$x = r cos θ = 6 \cdot cos (\frac{π}{4}) = \frac{6}{\sqrt{2}} = 3 \sqrt{2} \approx 4.2426$ $x = r cos theta = 6 * cos (pi/4) = 6 / sqrt2 = 3 sqrt 2 ~~ 4.2426$

$y = r sin θ = 6 \cdot sin (\frac{π}{4}) = \frac{6}{\sqrt{2}} = 3 \sqrt{2} \approx 4.2426$ $y = r sin theta = 6 * sin (pi/4) = 6 / sqrt2 = 3 sqrt 2 ~~ 4.2426$

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How do you convert $(6, \frac{π}{4})$ $(6, pi/4)$ into rectangular coordinates?

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How do you convert (6,π4)(6, pi/4) into rectangular coordinates?

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How do you convert $(6, \frac{π}{4})$ $(6, pi/4)$ into rectangular coordinates?