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Скачать или смотреть Graphing r=2cos(theta) in polar form

  • The Mathmagic Show
  • 2021-03-04
  • 3096
Graphing r=2cos(theta) in polar form
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Описание к видео Graphing r=2cos(theta) in polar form

📈🔍Graphing r=2cos(theta) in polar form🔍📈- Learn how to create a polar representation of 2cos(theta) and how to graph it in the polar coordinate system. In the left side of the Cartesian plane, when the angle is 0, a value of 2 is produced. This means that on the right side, you start at the origin and move over 2 units to the right to get the point (2, 0) in that position. At pi/4 radians, the value goes up to approximately 1.2-1.4. On the right side, mark a line at pi/4 radians and go up to 1.4, giving you the point (1.4, pi/4). At pi/2 radians, r=0, so mark a dot at the origin. At 3pi/4, r is negative because it is below the horizontal axis. Mark a mirror image of the line across the x-axis to get the point (-1.4, 3pi/4). At pi, r is negative 2, so mark a mirror image of the line across the y-axis to get the point (-2, pi). Connect the points to form an arc, and repeat for the other arcs. This results in a circle. Like and subscribe for more math tutorials!

1️⃣ What is the equation for the polar representation of 2cos(theta)?
The equation is r=2cos(theta).

2️⃣ What is the first point you plot on the right side of the Cartesian plane when the angle is 0?
The point is (2, 0).

3️⃣ What is the point you plot on the right side of the Cartesian plane at pi/4 radians?
The point is (1.4, pi/4).

4️⃣ What do you do on the right side of the Cartesian plane when r is 0 at pi/2 radians?
Mark a dot at the origin.

5️⃣ What is the point you plot on the right side of the Cartesian plane at 3pi/4 radians?
The point is (-1.4, 3pi/4).

6️⃣ Why do you mark a mirror image of the line across the x-axis when r is negative at 3pi/4 radians?
You mark a mirror image of the line across the x-axis because r is negative below the horizontal axis.

7️⃣ What is the point you plot on the right side of the Cartesian plane at pi radians?
The point is (-2, pi).

8️⃣ Why do you mark a mirror image of the line across the y-axis when r is negative at pi radians?
You mark a mirror image of the line across the y-axis because r is negative to the left of the y-axis.

9️⃣ How do you connect the points to form an arc?
Connect the points by drawing a line between them.

🔟 What does the final graph of r=2cos(theta) look like?
The final graph looks like a circle.

1️⃣1️⃣ What is the polar coordinate system?
The polar coordinate system is a way of representing points in a plane using a radius and an angle.

1️⃣2️⃣ How do you graph in the polar coordinate system?
To graph in the polar coordinate system, you plot points using the radius and angle given by the equation.

1️⃣3️⃣ What is the difference between the Cartesian and polar coordinate systems?
The Cartesian coordinate system uses
Buy a clever and unique math t-shirt: https://rb.gy/rmynnq Learn how to graph r=2cos(theta) in polar form. This video shows how to use the Cartesian form of the graph as a help to making the polar form of the graph.
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