Question

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

Answer 1

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

Explanation:

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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`