Question

Points in Polar Coordinates Determine which point in the figure,$P,Q,R\&S$ , has the given polar coordinates $(-4,\frac{13\pi }{4})$

Short answer

The respective point is P

Step-by-step solution

Step 1. Given information

A point in polar coordinates as $(-4,\frac{13\pi }{4})$

Step 2. Concept used

Point is given in polar coordinates. For finding the matching point among four, compare the angle of the given point because all have a radius as four units.

Step 3. Calculation

The given point is,$(-4,\frac{13\pi }{4})$

$\begin{array}{l}r=-4\\ \theta =\frac{13\pi }{4}\end{array}$

The result will be the inverse of the 4-length line segment from the origin with an angle from the x axis.

As a consequence, the point P is the point that meets the aforementioned requirements for the outcome.