Graphing Transformations with Tangent and Cotangent (Precalculus - Trigonometry 14)

[@MrDavidRaw]

Professor! I recently graduated from university, and just wanted to pay my respects. Appreciate you guiding me through it, sometimes even better than my actual professors. You the GOAT!

[@ProfessorLeonard]

Congratulations! Very proud of you and your graduation :)

[@HimuraK1]

I have watched starting at intermediate algebra. I have focused hard to prepare for calculus with your lectures. Without your videos, this prep work would have been so much harder. Thank you for making mathematics accessible to the world. You are leaving an incredible legacy behind. 🙏🏽 I am and will always be a Patreon supporter. Hoping your shop opens soon so I can buy some merchandise!

[@ElNietoPR]

Just dropping by to leave my like and my thanks for all you do.

[@ProfessorLeonard]

You're very welcome! Thanks for checking in :)

[@oliverosjevyp.6363]

I just graduated from senior high school and im thankful for you Prof for guiding me in my STEM strand. Haha and now im taking BS in Mechanical Engineering in college and still rewatching all of your lessons. Thank you Prof

[@rocks813]

OMG good day, Professor! I'm re-studying Precalculus now on my own, but I always go to your channel to hear discuss things I can't easily understand alone. Thank you so much for your dedication and for imparting your skills to everyone here in your channel! ❤️ Well wishes

[@raytbp723]

Hey professor leonard, i just wanted to thank you because you have sparked an interest in math like nobody else, I'm 13 and I watched through all your calculus playlists and took notes because you make everything make sense as well as fun. I now have a clearer look at my future and what I want to do with my life lol(I want to become an aerospace engineer). Thank you from the bottom of my heart!

[@sonyamadden9610]

You are amazing teacher, instructor, and person all around!!!!! I cannot thank you enough! I am a Junior at my University and have been out of school for 10 years now, raising my family. Now going back, im competing with my 20 yr old self! I'm in more advance class and was able to skip past algebra classes like i was able to skip some math basics back in college. I was going to school as a cpa with an mba but since have chaged it to a Data scientist or "Computer Programming STEM" with a double major of Education. Let me tell you, this was not an easy transition not to mention my Pre-Calc teacher has an accent (AND ALWAYS HAS A MASK ON) and is a stern, honory, mean old woman who doesnt like to be questioned. Therefore when I don't understand, I'm too afraid to get my head bit off to ask "why" lol or ask for help! Since I've found your channel, you are now my Pre-Calculus instructor for 2022!!!! If there is any way that I contribute or fund your channel, please leave a description below. my grade has gone from a F to a C at the moment because I a still playing catch up but I have hope for my exam now that I have started your videos from pre-cal trig #1 forward. AND went back to learn how you factor and all the other little secrets you have. I still have homework for exponantional and log homework but I plan to knock that out this weekend with your help! I wish I had found your channel MORE SOONER!!!!! Thanks for all your hard work and the time you spend to teach our "young" minds! I promis to use a lot of your methods in my soon to be class room in the future!!! Your truly are the GOAT!!

[@bayramjorayev6815]

Professor! Thank you so much for all you do. I can tell you, you are the hope for future generations. God Bless!

[@jamestogher1098]

The king is back and gearing up for the next semester, hope you had a good summer professor thank you for the videos.

[@haven216]

The GOAT is back again! Also please ban Mel Silva from your comments, it’s a bot

[@georgesadler7830]

Professor Leonard ,thank you for another well explained video/lecture on Graphing Transformations with Tangent and Cotangent Functions in Trigonometry/Precalculus. I am still having some problems with using Transformations to graph trig functions, however, I will re-watch this video for a deep understanding of the topic.

[@ojingaj30]

Bravo Professor L !!!

[@ProtoMaxoid]

Welcome back Professor

[@aarondorf8301]

well of a way into your calc three videos and found this video to be quite helpful. You do a very good job at explaining and make math interesting!

[@sihammayaba2419]

Thank you so much professor. You saved me.

[@joeyisho5370]

A true legend.

[@uzairhussain4856]

32:34 i think there is a mistake . it should (3pi/2, -5) instead of (3pi/2, -3) . btw thank you professor leonard for your amazing courses... (love from pakistan)

[@TheSyd19]

You're my hero!

[@yousefsaleh3562]

can you make videos about some topics like disceret mathematics, set theory and number theory.

[@Shashank_Shahi1989]

Professor Leonard, I hade already seen pre & intermediate algebra should I start learning calculus 1 or is it necessary to watch pre calculus videos ? Please let me know. Thank You for your videos 👍👍👍

[@sibongumusaws9551]

Hi Prof. Leonard. Are you active on any social media ?

[@ProfessorLeonard]

Hi! I used to be, but I've stepped back from Facebook for the time being. I will update everyone when/if that changes :)

[@sibongumusaws9551]

Okay@@ProfessorLeonard . I wanted to ask if you can share practice problems accompanying each video you upload from now on. For an example. In your calculus series. It would have been nice more nice if there was a link to the pdf of the homework problems you have your students in there 😁. Professor, do you think you can make a playlist on Real Analysis somewhere in the future ?

[@adityaekbote8498]

@@sibongumusaws9551 I need that and abstract algebra too

[@zuxzux]

Great timing! I just finished the Pre-Calculus playlist... How many more Trig videos will there be? I'm going to start Calculus now but curious how much Trig is left.

[@pritamsen2676]

Is this the last video of the precalculus playlist or are there more videos to come?

[@hermannklein-hessling7612]

Would this be the final episode in the series or are there still some missing?

[@poponegra]

Gracias profe!

[@ernestannable5781]

Are you planning on uploading linear algebra courses? 😭

[@takennames123]

I wish you would also teach physics and chemistry 😪

[@MohammedMaanHessaoud]

😑😑

[@blazehokage3609]

He’s going bald 👀👀👀

[@ProfessorLeonard]

No, not yet, but maybe someday :) I certainly do have more grey though....