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: