Polar Coordinates: Example 2: Polar to Cartesian

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: 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 Part 1: 0, 30, 45, 60, and 90 Degrees: http://youtu.be/ln03a5KvQAY
Exact Trigonometry Ratios: Amazing Memory Trick: http://youtu.be/78Em2CW0Sf4 .

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