(A,B), where A = 2 * cos(240 degrees) and B = 2 * sin(240 degrees).
We know that 240 degrees is equal to 180 degrees + 60 degrees. So we can write the equations as:
A = 2 * cos(180 + 60) = 2 * cos(180) * cos(60) - 2 * sin(180) * sin(60)
B = 2 * sin(180 + 60) = 2 * sin(180) * cos(60) + 2 * cos(180) * sin(60)
Now we know that:
cos(60) = 1/2, sin(60) = √3/2
cos(180) = -1, sin(180) = 0
Using this information, we can calculate A and B:
A = 2 * (-1) * (1/2) - 2 * 0 * (√3/2) = -2 * (1/2) = -1
B = 2 * 0 * (1/2) + 2 * (-1) * (√3/2) = 2 * (-1) * (√3/2) = -√3
So the Cartesian coordinates of P are (-1, -√3).
The polar coordinates of a point P are (2,240 degrees). The Cartesian (rectangular) coordinates of P are
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