Graphing Sin and Cos

We discuss how to graph Sine and Cosine graphs. We discuss how to find the amplitude, period, phase shift, and vertical shift and look at tips for making graphing these functions easier.

00:00 Intro
0:15 Graphing Sine and Cosine Parent Functions Using Unit Circle
2:23 Graphing y=2sinx Discussing Vertical Stretches
2:57 Graphing y=cos(2x) and Formula for Calculating the Period
4:16 Graphing y=sin(x-pi/2) Discussing Phase Shifts
5:05 Graphing y=cosx + 1 Discussing Vertical Translations
6:07 More Challenging Sine Graph y=3sin(1/2)(x+pi)-1
6:58 Graphing Parent Function First
7:45 Shifting the Graph Second
8:15 Alternative Way to Graph Sine & Cosine by Shifting the Origin
8:51 Graphing More Challenging Cosine Graph y=-2cos(4x-Pi)+3
9:21 Factoring Out
9:43 Graphing Parent Function with Amplitude & Period
10:40 Reflecting the Graph Over the X axis
10:52 Translating the Graph

Related Videos:

Graphing Tan and Cot

Graphing Secant and Cosecant

Graphing More Challenging Sine and Cosine Graphs

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[landondabney]

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[AlexSchmidt-wy]

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Thank you I liked how you take this subject and explain it so simply my teacher over explains and confused me.. Thanks again your video really helped

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Thank you so much for this video 🙏 I was crying and stressed out after seeing my teacher twice for help, but you’ve helped me understand in less than 5 min! Thank you so much again😁

[luisdfernandez]

I finished college algebra with not really understanding where the sine and cosine wave graph came from until now. Now in calculus, I'm needing to understand where they came from and this cleared the path to comprehension. Thank you!

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God bless your heart for explaining something that apparently even professors in University can't do properly.

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[paigecensale]

You helped me so much thank you for being so thorough and clear

[wesleyneumann]

Thank You so much for teaching me this. I had plenty of trouble trying to understand how to graph any of this.

[Tom-xygb]

they gave me a long reading to learn about this stuff and my attention span isnt that great. Everytime I read I zone out. This video clarified a whole lesson for me. Thank you.

[jacksonmandle]

OH MY GOSH I have been struggling with this forever! Thank you!!!

[ivy-sjug]

THANK YOU! I don't know what I would have done without this video!!!

[justsimplegg]

Thank you so much! This video extremely simplifying these 2 kind of graphs! Master🤧