John plots the point with the polar coordinates (3,5π6).

How does he plot this point?

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John first determines which line the angle of rotation places the point on. This line tells John that the point must lie in if r is positive or Response area if r is negative.

The radius of 3 tells John that the point lies on the third circle of the polar plane. The value of r is positive. Therefore, the point will lie Response area the angle of rotation.

Respuesta :

This line tells John that the point must lie in Quadrant 1 if r is positive or Quadrant 2 if r is negative. Therefore, the point will lie Quadrant 3 or 4 the angle of rotation.

How to find Polar Coordinates?

Step 1; John will start plotting the point by first of all seeing the sign of the radius and the value of the given angle.

Step 2; John will make a circle of the given radius, and plot the point at an angle given as a coordinate on the circle.

If r is positive, then the point will lie in Quadrant 1 or 2. However, If r is negative, then the point will lie in Quadrant 3 or 4.

In case r is positive, the point will lie in the same quadrant as the angle of rotation.

Read more about Polar Coordinates at; https://brainly.com/question/1511640

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