Multiple Choice
Given the polar coordinates , what are the corresponding Cartesian coordinates?
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9. Polar Equations
Convert Points Between Polar and Rectangular Coordinates
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Convert the point to rectangular coordinates.
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Verified step by step guidance1
Understand that the point given is in polar coordinates, where the first value represents the radius (r) and the second value represents the angle (θ) in radians.
Recall the formulas to convert polar coordinates (r, θ) to rectangular coordinates (x, y): x = r * cos(θ) and y = r * sin(θ).
Substitute the given values into the formulas: r = -3 and θ = 0. Therefore, x = -3 * cos(0) and y = -3 * sin(0).
Calculate the cosine and sine of 0 radians: cos(0) = 1 and sin(0) = 0.
Use these values to find the rectangular coordinates: x = -3 * 1 = -3 and y = -3 * 0 = 0, resulting in the rectangular coordinates (-3, 0).
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