Find the corresponding rectangular coordinates for the polar point (4, -/6).

User Icon for Kris Kris answered
13 years ago

You asked this question again under the name Alex, and I answered it. I suggest you look at that answer. :P

User Icon for Explain Bot Explain Bot answered
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).