Graphing Trigonometric Functions

What does graphing trigonometric functions mean?

• Like for real? I don't know. And I made this presentation.
• I'm not playing...

So the internet and Frank say

• Graph: plot or trace on a graph.
• Trigonometry: relationships involving lengths and angles of triangles.
• Functions: relationship or expression involving one or more variables

ESSENTIAL QUESTION
Graphing Trigonometric Functions, how do you differentiate two or more functions?

Example:

What is the difference between the two functions below?

y=Cos(x), y=Cos(x)+2

Calculus Rules Everywhere Around Me

Y=A SIN(B-CPI)+D Y=A COS(B-CPI)+D

• A= Amplitude |A|
• B= Vertical shift D
• C= Phase Shift C/B
• D= =Period 2pi/b

YOU NEED TO KNOW THIS!!!!!!!!

BLOW PEOPLE AWAY WITH WHAT YOU KNOW

• Show them your graphing skills
• I bet they don't know what SohCahToa means like you do
• Tell them how you know about waves.

Use in the real world?

• Seismologists
• Seismograph technician 
• Headphones engineers 
• Antenna designer for TV/radio/mobile phones industry
• Mathmeticans 

But wait there is more

• generation from sea-wave power
• Acoustic engineer
• X-ray crystallographer

THINGS I FIND COOL

Untitled Slide

Untitled Slide

Resources

• http://www.purplemath.com/modules/grphtrig.htm
• https://www.khanacademy.org/math/trigonometry/trig-function-graphs/trig_gra...
• Ms.Flak
• https://www.desmos.com/calculator
• Le Brain

About the presenters

• Luis Andres Garcia Lopez
• Frank P. Blender

Luis

Frank

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