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Convert to Rectangular Coordinates (2,270)

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Final answer:

To convert a polar coordinate to rectangular coordinates, use the formulas x = r * cos(θ) and y = r * sin(θ).

Step-by-step explanation:

The given point (2, 270) represents a polar coordinate in the form (r, θ) where r is the distance from the origin and θ is the angle in degrees. To convert this polar coordinate to rectangular coordinates, we can use the formula:

x = r * cos(θ)

y = r * sin(θ)

Substituting the values r = 2 and θ = 270 degrees into the formulas, we get:

x = 2 * cos(270°) = 2 * 0 = 0

y = 2 * sin(270°) = 2 * (-1) = -2

Therefore, the rectangular coordinates for (2, 270) are (0, -2).

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