Find the rectangular coordinates of the point with the polar coordinates (3, 3π/2).

Solution:

Polar coordinates are defined by a magnitude(r) and angle (θ)

(r, θ) = (3, 3π/2)

We have to find the rectangular coordinates of the point.

Now, we have to multiply r by sine and cosine of the angle.

x = r cos(θ)

y = r sin(θ)

So, x = 3 cos(3π/2)

x = 3(0)

x = 0

y = 3 sin(3π/2)

y = 3(-1)

y = -3

Therefore, the rectangular coordinates are x = 0 and y = -3.

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Find the rectangular coordinates of the point with the polar coordinates (3, 3π/2).

Summary:

The rectangular coordinates of the point with polar coordinates (3, 3π/2) is x = 0 and y = -3.