Textbook Question
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)
1
views
9. Polar Equations
Convert Points Between Polar and Rectangular Coordinates
Multiple Choice
Convert the point to rectangular coordinates.
A
B
C
D
Verified step by step guidance1
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).
Related Videos
Related Practice
