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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 * (âˆš3/2)

x = 2âˆš3

y = 4 * sin(-Ï€/6)

y = 4 * (-1/2)

y = -2

Therefore, the corresponding rectangular coordinates for the polar point (4, -Ï€/6) are (2âˆš3, -2).