How to Graph Phase Shifts of Trigonometric Functions (Precalculus - Trigonometry 16)

How to perform Horizontal shifts, called a Phase shift or Horizontal Translation, on trigonometric functions. While only Sine and Cosine are demonstrated, these techniques can be with all trig functions.

[zuluwarriorprincess]

Thank you Professor Leonard for all your help. I am watching from South Africa. Hopefully I can be a awesome teacher like you in a couple of years for my future students.

[anomanderrake]

This entire channel is a treasure. Thank you for all the work you do for your students. Have a great day!

[jenniferlane]

Just want to add again to how awesome these videos are! I took some math classes to review my math since I am now retired from healthcare and substitute teach and tutor. If my college professor had been anywhere near this good, I might have been a math major--instead I learned nothing in Calc III and IV. Until reviewing Mr. Leonard's calculus lectures, I hadn't understood calculus since my amazing high school teacher introduced it.

The graphing method is actually amazing and comprehensible--I tell all the students to check this series out and wish I had more time to convert them from the plodding textbooks to Mr. Leonard's approach.

[toshirobozdogan]

You're literally the greatest teacher I've ever, ever seen. Absolutely immaculate knowledge of the mindset and thoughts of the student. Perfect explanations from a boatload of different angles. I thank you dearly for the lessons🙏

[georgesadler]

Professor Leonard, thank you for another outstanding video/lecture on How to Graph Phase Shifts of Trigonometric Functions in Precalculus/Trigonometry. To calculate the Phase Shifts you can also set the terms inside the brackets equal to zero and then solve for x. There are multiple ways to find the Phase Shifts that helps with graphing Trigonometric functions.

[endissonance]

You're a champion, Professor Leonard! I just noticed that you've been working on this precalc/trig series for over two years now. Thank you so much for sticking to it. It has been so helpful for me to review this material, especially with a professor that explains math so well. <3

[ayrthhhn]

Learned a lot in this section of graphing. Once more, thank you so much for delivering these methods, Prof!

[ajayp.v]

Thank you Professor Leonard. You are such an awesome teacher!!! Watching your classes from India.

[doenglapitus]

Thanks for all of the help you have provided.

[vegetaiv]

Thank you Professor! Your lecture is awesome. You are a super hero!

[theincrediblejumana]

I graduated last semester and I'm still watching CALC 3 Playlist ❤❤

[pokefanover]

Swole professor is here! You helped me alot when I was taking calc, just wanna thank you man :D

[marcusortega]

can you do a tutorial on phase shift with tan and cot

[omidolfati]

Thanks a lot for your so good videos professor👍

[madhavmp]

hey professor! it would be really helpful if you could give the name of the textbook which you use for this course.thanks!

[tianyumickliu]

Ironically, my math teacher cannot teach me but you can

[therandomperson]

can you have word problems with real-world stuff to form equations since that’ll be helpful?

[marvinlittman]

Minor typo: At the 10 minute mark you write ((3pi/4, -3); it should be (5pi/4, -3).

[MakSte]

Finding the other points within a period using this method has me stuck. Is it supposed to be an intuitive process?

[zuluwarriorprincess]

Please block Mel Silver. This bot posts spam in your video comment section everytime you post a video.