Domanda del libro di testo
In Exercises 41–48, the rectangular coordinates of a point are given. Find polar coordinates of each point. Express θ in radians. _ (2,−2√3)
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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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Identify the given point in polar coordinates: (r, θ) = (0, \(\frac{7\pi}{4}\)).
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: x = 0 \(\cdot\) \(\cos\)(\(\frac{7\pi}{4}\)) and y = 0 \(\cdot\) \(\sin\)(\(\frac{7\pi}{4}\)).
Since the radius r is 0, both x and y will be 0 regardless of the angle θ.
Conclude that the rectangular coordinates are (x, y) = (0, 0).
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