Question

Suppose a spider moves along the edge of a circular web at a distance of 3cm from the center.
1.Place the origin of the coordinate plane at the center of web. What are the coordinates of the spider when it reaches the point directly southwest of the center?

Answer 1

When we say southwest, we refer to the direction of the spider by which it is directly 45° downward in Quadrant III. In other words, it is 225° from the positive x-axis. The values are obtained by multiplying the given radius by the sine and cosine of the angle. 
                                   x-coordinate = (3 cm)(cosine 225°) = -2.12 cm
                                   y-coordinate = (3 cm)(sine 225°) = -2.12 cm
Therefore, the coordinate of the spider is,
                              (-2.12, -2.12)