Polar Coordinates: Example 6: Part 2: Polar Circle to Cartesian
In this video I go over part 2 of the example video on polar coordinates which involved the polar equation r = 2cosθ. In part 1 I sketched the curve based on some values in which we knew the exact trigonometric ratios. In this part 2, I show how to convert the polar equation into Cartesian coordinates. I do this by using the Pythagorean Theorem to connect the Polar and Cartesian coordinate systems. Also in this video I show how we can visually draw a triangle inside the circle to illustrate the polar equation r = 2cosθ. The fact that the triangle has a right angle, or perpendicular 90 degree angle, will be proved in my next video so stay tuned for that video! This is a great video to illustrate how to jump from polar to Cartesian coordinates for polar equations involving trigonometry and circles, so make sure to watch this video!
Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhulpB2ppI5PYD1-7WQ
#HIVE video notes: https://peakd.com/mathematics/@mes/video-notes-polar-coordinates-example-6-part-2-polar-circle-to-cartesian
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
Equation of a Circle and it's proof: http://youtu.be/xMXYJ9UeF4I
Simple Proof of the Pythagorean Theorem: http://youtu.be/yt-EJlbJQp8 .
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I don’t always draw circles in polar equation form but when I do I make sure to convert the equation into Cartesian coordinates as well ;)
#HIVE video notes: https://peakd.com/mathematics/@mes/video-notes-polar-coordinates-example-6-part-2-polar-circle-to-cartesian
https://reddit.com/r/AMAZINGMathStuff/comments/152de99/polar_coordinates_example_6_part_2_polar_circle/
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