Polar Coordinates: Example 6 Part 1: Sketching a Circle

In this video I go over another example on polar coordinates, and in this example I sketch the polar equation r = 2cosθ. This is the first part of a two part example question, the second which I will do in a later video is on converting this polar equation to Cartesian form. In this first part, I sketch this curve by finding several coordinates which have angles that we know the exact trigonometric ratios for. Graphing several of this points onto a polar coordinate system, the shape appears to be a circle (which indeed is). Also, I explain how if extend past the domain of the angle between 0 to pi, we simply just plot the same points again. Also for angles that are in the 2nd or third quadrant, I show that we end up getting a negative r value, and thus we move the distance backwards to, again, get the same points onto the circle. This is a really important example in understanding how to manually sketch polar equations, especially those involving trigonometry, so make sure to watch this video!

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhulaAxdqyyJRly7wJg

#HIVE video notes: https://peakd.com/mathematics/@mes/video-notes-polar-coordinates-example-6-part-1-sketching-a-circle

Related Videos:

Polar Coordinates: Example 5: Straight Lines: https://youtu.be/AGSz3EVi05A
Polar Coordinates: Example 4: Circle: https://youtu.be/ebsaIlXaZxs
Polar Coordinates: Example 3: Cartesian to Polar: https://youtu.be/mV-9KTQM-RU
Polar Coordinates: Example 2: Polar to Cartesian: https://youtu.be/mvpb9QshNNU
Polar Coordinates: Cartesian Connection: https://youtu.be/HcaTYrpmGaU
Polar Coordinates: Example 1: https://youtu.be/q_kpqPpoLqE
Polar Coordinates: https://youtu.be/-KAdZL-N4ok
Parametric Equations and Polar Coordinates: https://youtu.be/usSors49Gdw
Exact Trigonometry Ratios: Amazing Memory Trick: http://youtu.be/78Em2CW0Sf4
Proof that Sum of Angles in ANY Triangle = 180 degrees: http://youtu.be/4bI3BXIe2k8
Simple Proof of the Pythagorean Theorem: http://youtu.be/yt-EJlbJQp8 .

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