Tuesday 4 October 2011

The polar coordinates of a point are r = 5.10 m and θ = 270°. What are the Cartesian coordinates of this point?

The polar coordinates of a point are r = 5.10 m and θ = 270°. What are the Cartesian coordinates of this point? Find x and y.

1) Given r = 5.10 and θ = 270°, we can find x using the formula x = rcosθ and y using the formula y = rsinθ

2) x = (5.10)cos(270) = 0

3) y = (5.10)sin(270) = -5.1

Therefore, x = 0 and y = -5.1

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