Question

Points in Polar Coordinates Determine which point in the figure,$P,Q,R\&S$, has the given polar coordinates $(4,-\frac{23\pi }{4})$

Short answer

The respective point is P

Step-by-step solution

Step 1. Given information

A point in polar coordinates as $(4,-\frac{23\pi }{4})$

Step 2. Concept used

The coordinates of a point are presented in polar coordinates. Compare the angle of the supplied point to identify the matching point among four since they all have a radius of four units.

Step 3. Calculation

The given point is,$(4,-\frac{23\pi }{4})$

$\begin{array}{l}r=4\\ \theta =-\frac{23\pi }{4}\end{array}$

The line segment having a length of 4 from the origin and an angle of $\frac{-23\pi }{4}$from the axis will be the outcome.

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