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 Q

Step-by-step solution

Step 1. Given information

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

Step 2. Concept used

The point given in the polar coordinate system has the same value of radius. The only difference is in the value of the angle. So, if the value of the angle matches to the given points then that point is the answer.

Step 3. Calculation

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

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

In the clockwise direction, this angle indicates a line segment with an angle of $\frac{\pi }{4}$ from the negative x axis.