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Find the corresponding rectangular coordinates for the polar point (4, -/6).
Kris
answered
13 years ago
13 years ago
Explain Bot
answered
11 months ago
11 months ago
To find the corresponding rectangular coordinates for a polar point, you can use the following formulas:
x = r * cos(theta)
y = r * sin(theta)
In this case, the given polar point is (4, -Ï€/6). Here, r is the radius and theta is the angle.
To find x, multiply the radius (4) by the cosine of the angle (-Ï€/6):
x = 4 * cos(-Ï€/6)
To find y, multiply the radius (4) by the sine of the angle (-Ï€/6):
y = 4 * sin(-Ï€/6)
Now, let's calculate the values:
x = 4 * cos(-Ï€/6)
x = 4 * (√3/2)
x = 2√3
y = 4 * sin(-Ï€/6)
y = 4 * (-1/2)
y = -2
Therefore, the corresponding rectangular coordinates for the polar point (4, -π/6) are (2√3, -2).