In this video I go over another quick example on polar coordinates and show how we can quickly write the point (2, pi/3) to Cartesian coordinates. In polar coordinates, the point has r = 2 and an angle of pi/3, which when plotted onto a Cartesian, or basic x-y axis, coordinate system we can visually see a right angle triangle in which the length of the sides are x, y, and a hypotenuse of r. We can then use the Pythagorean theorem, as well as the exact trig ratios from my previous video to obtain exact values for the x and y values. The resulting coordinates in Cartesian form are (1, sqrt(3)). This is a great example to illustrate how to quickly jump from polar to Cartesian coordinates, and in my next video I will show how to jump from Cartesian to polar so stay tuned!
Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhuh01un1LedrTrnUKA
Video notes and playlist:
- PDF: https://1drv.ms/b/s!As32ynv0LoaIhuh01un1LedrTrnUKA
- HIVE: https://peakd.com/mathematics/@mes/video-notes-polar-coordinates-example-2-polar-to-cartesian
- Polar Coordinates playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0HUFiPLsYw5_Ljd5riOUzjP
Related Videos:
Polar Coordinates: Cartesian Connection:
Polar Coordinates: Example 1:
Polar Coordinates:
Parametric Equations and Polar Coordinates:
Exact Trigonometry Ratios Part 1: 0, 30, 45, 60, and 90 Degrees:
Exact Trigonometry Ratios: Amazing Memory Trick:
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