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In Exercises 41–48, the rectangular coordinates of a point are given. Find polar coordinates of each point. Express θ in radians. (−2, 2)
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9. Polar Equations
Convert Points Between Polar and Rectangular Coordinates
Scelta multipla
Convert the point to rectangular coordinates.
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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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