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What are the cartesian co-ordinates of r=2 ,angle=45?

1 Answer

May 19, 2018

Cartesian coordinates are $(\sqrt{2}, \sqrt{2})$ $color(crimson)((sqrt2, sqrt2)$ or $(1.4142, 1.4142)$ $color(maroon)((1.4142,1.4142)$

Explanation:

Cartesian coordinates

$x = r cos θ, y = r sin θ$ $x = r cos theta, y = r sin theta$

Given : $r = 2, θ = 45^{\circ}$ $r = 2, theta = 45^@$

$x = r cos θ = 2 cos 45 = \sqrt{2} = 1.4142$ $x = r cos theta = 2 cos 45 = sqrt2 = 1.4142$

$y = r sin θ = 2 sin 45 = \sqrt{2} = 1.4142$ $y = r sin theta = 2 sin 45 = sqrt2 = 1.4142$

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