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Graph Trigonometric Functions




 

Videos and lessons to help High School students learn how to graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

E. Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.



Common Core: HSF-IF.C.7


Related Topics:
Common Core (Functions)

Common Core for Mathematics


Creating and Analyzing Trig Functions
The components of trig functions - midline, amplitude, period, phase shift - alow us to build and break them down.


Graphing the Sine and Cosine Function
Graph the Sine and Cosine functions on the coordinate plane using the unit circle.
Determine the domain and range of the Sine and Cosine Function
Determine the period of the Sine and Cosine Function.





Amplitude and Period of Sine and Cosine
The video explains how to determine the amplitude and period of sine and cosine. It also graphs the functions with different amplitudes and periods.


Graphing Sine and Cosine with Transformations
Graph Sine and Cosine with the four basic transformations.
State amplitude, period, phase shift, and vertical shift.
Graph y = Asin(B(x-D))+C and y = Acos(B(x-d))+C



 

Example 1: Graphing a Transformation of Sine and Cosine
This video provides an example of describing and graphing a transformation of the sine and cosine functions.


Example 2: Graphing a Transformation of Sine and Cosine
This video provides an example of describing and graphing a transformation of the sine and cosine functions.




Graphing Tangent and Cotangent over Different Periods
Determine the period of a function.
Graph Tangent and Cotangent function
Graph y = Atan(Bx) and y = Acot(Bx)


Graphing Cosine, Sine, and Tangent on the graphing calculator TI84 in degrees and radians.



 

Graphing Cosecant and Secant
How to graph Cosecant and Secant using Sine and Cosine.


Graphing Calculator




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