Review the four points shown on the polar coordinate system.

On a polar coordinate plane, point A is at (5, StartFraction pi Over 6 EndFraction), point B is at (5, StartFraction 5 pi Over 6 EndFraction), point C is at (5, StartFraction 7 pi Over 6 EndFraction), point D is at (5, StartFraction 11 pi Over 6 EndFraction)

Which point has coordinates (5, negative StartFraction 7 pi Over 6 EndFraction)?

point A
point B
point C
point D

Respuesta :

Answer:

The correct answer is D!!!

Step-by-step explanation:

I used the Desmos Polar graph and got the correct answer!!!

A point C reflected about polar-axis has coordinates [tex](5,-\frac{7\pi}{6} )[/tex]

What is polar coordinate system?

  • "It is a two-dimensional coordinate system in which points are given by an angle and a distance from a central point. "
  • "A point are given as [tex](r,\theta)[/tex], where r is the distance of the point from the pole, and [tex]\theta[/tex] is the measure of the angle."

For given question,

We have been given four points.

[tex]A=(5,\frac{\pi}{6} ), B=(5,\frac{5\pi}{6} ),C=(5,\frac{7\pi}{6} ),D=(5,\frac{11\pi}{6} )[/tex]

If we plot the above points on the polar coordinate plane then it would be as shown below.

We need to find the point having coordinates [tex](5,-\frac{7\pi}{6} )[/tex]

If we reflect a point [tex]C(5,\frac{7\pi}{6} )[/tex] about polar-axis then the coordinates of the reflected point would be [tex](5,-\frac{7\pi}{6} )[/tex]

Therefore, point C reflected about polar-axis has coordinates [tex](5,-\frac{7\pi}{6} )[/tex]

Learn more about polar coordinate system here:

https://brainly.com/question/11657509

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