Polar Coordinates: Example 2: Polar to Cartesian
256 views · Published 14 March 2017 · 6:35 · Indexed 20 September 2026
Channel: Math Easy Solutions · 2017 · Education
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 . ------------------------------------------------------ Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate SUBSCRIBE via EMAIL: https://mes.fm/subscribe MES Links: https://mes.fm/links MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Email me: [email protected] Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps
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