Question

Points in Polar Coordinates Determine which point in the figure, $P,Q,R\&S$, has the given polar coordinates$(4,-\frac{3\pi }{4})$

Short answer

The respective point is R

Step-by-step solution

Step 1. Given information

A point in polar coordinates as $(4,-\frac{3\pi }{4})$

Step 2. Concept used

The radius of the point in the polar coordinate system is the same. The only variation is the angle's value. So, if the angle value corresponds to the specified points, that point is the solution.

Step 3. Calculation

The given point is,$(4,-\frac{3\pi }{4})$

$\begin{array}{l}r=4\\ \theta =-\frac{3\pi }{4}\end{array}$

A line segment with a$\frac{\pi }{4}$ pi angle from the negative x axis is represented by this angle. As a result, the point R is the one that meets the aforementioned criteria for the result.