Convert to rectangular: theta=2pi/3

r can be anything. So, the equation is just a straight line at that angle.

tanθ = -√3
y/x = -√3
...

10 billion trillions

To convert a polar coordinate to rectangular form, we can use the following formulas:

x = r * cos(theta)
y = r * sin(theta)

In this case, the polar coordinate is given as theta = 2pi/3.

To convert, we substitute the value of theta into the formulas:

x = r * cos(2pi/3)
y = r * sin(2pi/3)

However, since we don't have the value of r, we cannot determine the exact rectangular coordinates. The rectangular coordinates will depend on the value of r, which represents the distance from the origin to the point in polar form.

So, without knowing the value of r, we cannot calculate the rectangular coordinates.