3
In this video I go over another example on Polar Coordinates, and this time look at revisiting the Cardioid, or Heart, example in my earlier video and determine the formula for the slope or tangent to the curve. This video goes over just determining the formula, in which I will solve the slopes in various cases and angles in later video so stay tuned for that. Determining the formula of the slope of a tangent line to the curve involves following the same method as in my last video on Tangents to Polar curves. Namely, first writing the polar curve equation into Parametric Equations and then apply the formula for the derivative using Parametric Calculus. Doing this we can a formula that involves many trigonometric terms, which I decided to simplify (because my Calculus book does so), and thus go over some pretty interesting factoring and trig algebra. This is a very interesting video into determining the slope of a polar curve, but even more so is the trigonometric algebra, so make sure to watch this video!
Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhvM_LvGHjQ4M00FUhw
View video notes on the Hive blockchain: https://peakd.com/@mes/g8fcn-video-notes-polar-coordinates-example-9-cardioid-part-1-slope-formula-and-trigonometric-algebra
Related Videos:
Polar Coordinates: Tangents to Polar Curves: https://youtu.be/DJso0gmxCBY
Polar Coordinates: Symmetry: https://youtu.be/TWxforTOvxM
Polar Coordinates: Example 8: Four-Leaved Rose: https://youtu.be/mTk5j0jD3dE
Polar Coordinates: Example 7: Cardioid: https://youtu.be/rPErcaqNUIY
Polar Coordinates: Example 6: Part 2: Polar Circle to Cartesian: https://youtu.be/biUHN-BphkE
Polar Coordinates: Example 5: Straight Lines: https://youtu.be/AGSz3EVi05A
Polar Coordinates: Example 4: Circle: https://youtu.be/ebsaIlXaZxs
Polar Coordinates: Example 3: Cartesian to Polar: https://youtu.be/mV-9KTQM-RU
Polar Coordinates: Example 2: Polar to Cartesian: https://youtu.be/mvpb9QshNNU
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
Equation of a Circle and it's proof: http://youtu.be/xMXYJ9UeF4I
Trigonometry Identities: Proof that sin2(x) + cos2(x) = 1: http://youtu.be/o-fAx_96lgw .
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
Like, Subscribe, Favorite, and Comment Below!
Follow us on:
MES Truth: https://mes.fm/truth
Official Website: https://MES.fm
Hive: https://peakd.com/@mes
MORE Links: https://linktr.ee/matheasy
Email me: contact@mes.fm
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
Comments:
Reply:
To comment on this video please connect a HIVE account to your profile: Connect HIVE Account