Question

Points in Polar Coordinates Determine which point in the figure,$P,Q,R\&S$ , has the given polar coordinates$-4,\frac{101\pi }{4}$

Short answer

The respective point is P

Step-by-step solution

Step 1. Given information

A point in polar coordinates as $-4,\frac{101\pi }{4}$

Step 2. Concept used

Polar coordinates of a point are given, and there are four matching points. All points have a radius of four units. The difference is there only in their angles. So match the point which has the same angle as a given point.

Step 3. Calculation

The given point is,$-4,\frac{101\pi }{4}$

$\begin{array}{l}r=-4\\ \theta =\frac{101\pi }{4}\end{array}$

The result will be the inverse of the4 -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.