CK-12-Pre-Calculus Concepts

(Marvins-Underground-K-12) #1

http://www.ck12.org Chapter 5. Trigonometric Functions


5.7 Graphs of Other Trigonometric Functions


Here you will extend what you know about rational functions and sine and cosine functions to produce graphs of
the four other trigonometric functions: tangent, secant, cosecant, and cotangent. You will also see how the four
coefficients of a general sinusoidal function affect the new functions in similar ways.
If you already know the relationship between the equation and graph of sine and cosine functions then the other four
functions can be found by identifying zeroes, asymptotes and key points. Are the four new functions transformations
of the sine and cosine functions?


Watch This


MEDIA


Click image to the left for use the URL below.
URL: http://www.ck12.org/flx/render/embeddedobject/61264

http://www.youtube.com/watch?v=5kOgBAVnrCI James Sousa: Graphing the Cosecant and Secant Functions


MEDIA


Click image to the left for use the URL below.
URL: http://www.ck12.org/flx/render/embeddedobject/61266

http://www.youtube.com/watch?v=6pc95eHUJhY James Sousa: Graphing the Tangent Function


MEDIA


Click image to the left for use the URL below.
URL: http://www.ck12.org/flx/render/embeddedobject/61267

http://www.youtube.com/watch?v=5_65h_i8Yxg James Sousa: Graphing the Cotangent Function


Guidance


Since secant is the inverse of cosine the graphs are very closely related.

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