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

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Answer 1 · 2018-07-09T05:52:57

$color(purple)((x,y) = (3 sqrt2, 3sqrt2) " or " (4.2426, 4.2426)$

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$"Given " (r, theta) = (6, pi/4)$

$x = r cos theta = 6 * cos (pi/4) = 6 / sqrt2 = 3 sqrt 2 ~~ 4.2426$

$y = r sin theta = 6 * sin (pi/4) = 6 / sqrt2 = 3 sqrt 2 ~~ 4.2426$

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