What are the Cartesian coordinates of (2, pi | vedclass

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(C) The polar coordinates are given as $(r, 	heta) = (2, \pi /4)$.To convert polar coordinates $(r, 	heta)$ to Cartesian coordinates $(x, y)$,we use

Vedclass · Accepted Answer

$(\sqrt{2}, \sqrt{2})$

Vedclass · Answer

(C) The polar coordinates are given as $(r, 	heta) = (2, \pi /4)$.To convert polar coordinates $(r, 	heta)$ to Cartesian coordinates $(x, y)$,we use the formulas:$x = r \cos 	heta$$y = r \sin 	heta$Substituting the given values:$x = 2 \cos(\pi /4) = 2 	imes (1 / \sqrt{2}) = \sqrt{2}$$y = 2 \sin(\pi /4) = 2 	imes (1 / \sqrt{2}) = \sqrt{2}$Thus,the Cartesian coordinates are $(\sqrt{2}, \sqrt{2})$.

What are the Cartesian coordinates of $(2, \pi /4)$?

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