What are the rectangular coordinates of the polar point with r equal to 6 and theta equal to pi?

1. Use x equal to r cos theta and y equal to r sin theta. 2. The cosine of pi is negative 1, so x is 6 times negative 1, which is negative 6. 3. The sine of pi is 0, so y is 6 times 0, which is 0. 4. The point is therefore (-6, 0), a half turn from the polar axis. 5. Answering (6, 0) treats the cosine of pi as positive 1 and lands on the wrong side. _Source: OpenStax Precalculus (CC BY 4.0), Ch 8 "Further Applications of Trigonometry", section 8.3 Polar Coordinates_