What is the Cartesian equivalent of polar coordinates $(\sqrt{97}, 66^{\circ})$ $(sqrt97, 66^circ)$ ?

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Answer 1 · 2018-07-09T06:16:10

$Cartesian Equivalent (x, y) = (4, 9)$ $color(maroon)("Cartesian Equivalent "(x,y) = (4,9)$

http://www.nabla.hr/PC-RectPolarCooSys4.htm

$r, θ = \sqrt{97}, 66^{\circ}$ $r, theta = sqrt97, 66^@$

$x = r cos θ = \sqrt{97} cos 66 \approx 4$ $x = r cos theta = sqrt97 cos 66 ~~ 4$

$y = r sin θ = \sqrt{97} sin 66 \approx 9$ $y = r sin theta = sqrt97 sin 66 ~~ 9$

What is the Cartesian equivalent of polar coordinates (√97,66∘)(sqrt97, 66^circ)?