Difference between revisions of "Graphs of the Sine and Cosine Functions"

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(fixing link to go straight to pdf)
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[[File:Horizontal stretch of sinx.png|thumb|<math> \sin{x} </math> (red) and <math> \sin{\left(\frac{1}{2}x\right)} </math> (green, horizontal stretch of sin(x) by factor of 2). Horizontal stretches/compressions of sine and cosine functions change the period.]]
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[[File:Vertical stretch of sinx.png|thumb|<math> \sin{x} </math> (red) and <math> \sin{\left(2x\right)} </math> (green, vertical stretch of sin(x) by factor of 2). Vertical stretches/compressions of sine and cosine functions change the amplitude.]]
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==Resources==
 
* [https://mathresearch.utsa.edu/wikiFiles/MAT1093/Graphs%20of%20the%20Sine%20and%20Cosine%20Functions/Esparza%201093%20Notes%202.4.pdf Graphs of the Sine and Cosine]. Written notes created by Professor Esparza, UTSA.
 
* [https://mathresearch.utsa.edu/wikiFiles/MAT1093/Graphs%20of%20the%20Sine%20and%20Cosine%20Functions/Esparza%201093%20Notes%202.4.pdf Graphs of the Sine and Cosine]. Written notes created by Professor Esparza, UTSA.

Revision as of 14:27, 22 September 2021

(red) and (green, horizontal stretch of sin(x) by factor of 2). Horizontal stretches/compressions of sine and cosine functions change the period.
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \sin{x} } (red) and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \sin{\left(2x\right)} } (green, vertical stretch of sin(x) by factor of 2). Vertical stretches/compressions of sine and cosine functions change the amplitude.

Resources