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
View Video Notes on Steemit: https://steemit.com/mathematics/@mes/video-notes-angles-in-circles-triangle-with-diameter-hypotenuse
Related Videos:
Polar Coordinates: Example 5: Straight Lines:
Polar Coordinates: Example 4: Circle:
Polar Coordinates: Example 3: Cartesian to Polar
Polar Coordinates: Example 2: Polar to Cartesian:
Polar Coordinates: Cartesian Connection:
Polar Coordinates: Example 1:
Polar Coordinates:
Parametric Equations and Polar Coordinates:
Equation of a Circle and it's proof:
Simple Proof of the Pythagorean Theorem: .
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