Graphing Trigonometric Functions with Transformations
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 Published On Oct 6, 2023

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In this lesson, we will learn how to sketch the graphs of the six trigonometric functions. We will begin with sine and cosine. We will begin with a basic graph for each and then learn how to sketch the graph when transformations are involved. Then we will move into how to graph tangent, cotangent, secant and cosecant.

0:00:00 Graphing Sine and Cosine
1:07:28 Graphing Tangent and Cotangent
2:27:30 Graphing Secant and Cosecant

Desmos Links for Tangent and Cotangent:

Tangent Graph over one period:
https://www.desmos.com/calculator/ia2...

Tangent Graph expanded:
https://www.desmos.com/calculator/wvr...

1st Example with Tangent:
https://www.desmos.com/calculator/7tp...

2nd Example with Tangent:
https://www.desmos.com/calculator/j30...

Cotangent Graph over one period:
https://www.desmos.com/calculator/xqe...

Cotangent Graph expanded:
https://www.desmos.com/calculator/xjk...

1st Example with Cotangent:
https://www.desmos.com/calculator/5kq...

2nd Example with Cotangent:
https://www.desmos.com/calculator/y6g...

Desmos Links for Secant and Cosecant:

y = sec x from [-π, π]:
https://www.desmos.com/calculator/kom...
y = sec x, with y = cos x:
https://www.desmos.com/calculator/9h2...

Secant First Example:
https://www.desmos.com/calculator/to1...

Secant Second Example:
https://www.desmos.com/calculator/gib...

y = csc x from (-π, π):
https://www.desmos.com/calculator/r25...

y = csc x, with y = sin x:
https://www.desmos.com/calculator/zm1...

Cosecant First Example:
https://www.desmos.com/calculator/lsm...

Cosecant Second Example:
https://www.desmos.com/calculator/5el...

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