Final answer:
To find the rectangular coordinates for a point given its polar coordinates, use the formulas x = r * cos(q) and y = r * sin(q), where r is the magnitude or distance and q is the angle. For the given polar coordinates (-9, 52), the rectangular coordinates are approximately (-5.787, -6.960).
Step-by-step explanation:
To find the rectangular coordinates for a point given its polar coordinates, we can use the following formulas:
x = r * cos(q)
y = r * sin(q)
Where r is the magnitude or distance of the point from the origin and q is the angle or direction of the point from the positive x-axis.
In this case, the polar coordinates are given as (-9, 52). Thus, we have:
x = -9 * cos(52) = -5.787
y = -9 * sin(52) = -6.960
Therefore, the rectangular coordinates for the point with polar coordinates (-9, 52) are (-5.787, -6.960).