Graphing Sine and Cosine Functions (More Challenging Examples)

Learn how to graph some more challenging sine and cosine graphs in this free math video tutorial by Mario's Math Tutoring. We discuss how to graph the parent functions for sin and cos using the coordinates on the unit circle. We discuss how to find the period, amplitude, as well as how to shift the graph horizontally and vertically. We also go over how to graph reflections.

0:12 How to Graph Basic Sine and Cosine Using the Unit Circle
2:07 Example 1 Graph y=-2sin((1/2)x+pi)-3
3:00 Formula for Finding the Period
4:30 Graph From the Shifted Origin
6:42 Example 2 Graph y=(1/2)cos(4x - pi/2) + 2
8:17 Graph From the Shifted Origin

Related Videos:

Graph Sine and Cosine

Graphing Tan and Cot

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[marmar-chkh]

Thank you so so so much for doing these videos!! I understand this way better now, my teacher is really old so he just assumes we know everything and doesn’t teach the basics well. Finally I understand, and surely when I take the SATs I’m going to use your videos!

[moizchawdhary]

could you possibly do another video on co-tangent and graphing it

[sethle]

I've been practicing how ot graph sin and cos, and i've been doing relatively okay. but often times, i would always stumble over the graphs with phase shifts. you made this a lot more simpler than the way I was taught! I feel much prepared for my test, so thank you!

[ayaanraza]

im confused for the second prob, why did u make the scale pi/8 ?