Virginia Caron

2021-11-22

Graph the sets of points whose polar coordinates satisfy the given polar equation.

The given polar equation is written as follows:

$\theta =\frac{2\pi}{3},r\le -2$

The given polar equation is written as follows:

pendukke

Beginner2021-11-23Added 9 answers

Description:

Consider the polar coordinates as$P(r.\theta )$ .

Here, r is the directed distance from origin Oto point Pand$\theta$ is the directed angle from initial ray to OP.

From the given equation, the range of r is from —2 to$\u2014\propto$ and 0s fixed at $\frac{2\pi}{3}$ . Therefore, the polar point traces a straight line at an angle of $\frac{2\pi}{3}$ from the initial ray (x-axis) and the line also satisfies the range of r.

From the analysis, draw the sets of points whose polar coordinates satisfy the given polar equation as shown in Figure 1.

$\theta =\frac{2\pi}{3},$

$r\le -2$

Consider the polar coordinates as

Here, r is the directed distance from origin Oto point Pand

From the given equation, the range of r is from —2 to

From the analysis, draw the sets of points whose polar coordinates satisfy the given polar equation as shown in Figure 1.