Conics in Polar Coordinates: Example 2: Ellipse

In this video I go over another example on Conics in Polar Coordinates and this time go over the conic given by the formula r = 10/(3 – 2cosθ). The first thing to do whenever we are given a polar equation of a conic is to re-write it in the standard conic equation form, r = e∙d/(1 – e∙cosθ). Thus in this case, we would divide by 3 on the top and bottom of the equation. Doing so we get the polar equation r = (10/3)/[1 – (2/3)cosθ]. Thus we can see that we have: eccentricity e = 2/3, the directrix x = -d = -5, and since e is less than 1, the conic is an ellipse. I also determine the vertices by setting the polar angle to 0 and π to obtain (10, 0) and (2, π) in polar coordinates. This is a very detailed video breaking down how to determine the properties and graphical illustration of a conic, so make sure to watch this video!

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIh5p9E9wPEQLA3pGr9w

View video notes on the Hive blockchain: https://peakd.com/mathematics/@mes/conics-in-polar-coordinates-example-2-ellipse

Related Videos:

Conics in Polar Coordinates Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0H4OJpJ2gslXVLT8mP-SgJP
Conic Sections Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FEUsuxP3KS5DRbidSSGBPL
Polar Coordinates Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0HUFiPLsYw5_Ljd5riOUzjP
Conics in Polar Coordinates: Unified Theorem: Ellipse Proof: https://youtu.be/HRFzk1vyLmg .

SUBSCRIBE via EMAIL: https://mes.fm/subscribe

DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate

Like, Subscribe, Favorite, and Comment Below!

Follow us on:

Official Website: https://MES.fm
Hive: https://peakd.com/@mes
Gab: https://gab.ai/matheasysolutions
Minds: https://minds.com/matheasysolutions
Twitter: https://twitter.com/MathEasySolns
Facebook: https://fb.com/MathEasySolutions
LinkedIn: https://mes.fm/linkedin
Pinterest: https://pinterest.com/MathEasySolns
Instagram: https://instagram.com/MathEasySolutions
Email me: contact@mes.fm

Try our 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

Try our Free Online Tools: https://mes.fm/tools

iPhone and Android Apps: https://mes.fm/mobile-apps