Difference between revisions of "Double-angle formulas"
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Double angle formulas: | Double angle formulas: | ||
* <math> \sin{(2x)} = 2\sin{x}\cos{x} </math> | * <math> \sin{(2x)} = 2\sin{x}\cos{x} </math> | ||
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* <math> \cos{(2x)} = \cos^2{x} - \sin^2{x} </math> | * <math> \cos{(2x)} = \cos^2{x} - \sin^2{x} </math> | ||
: <math> \;\;\;\;\;\;\;\;\;\;\;\;\; = 2\cos^2{x} - 1 </math> | : <math> \;\;\;\;\;\;\;\;\;\;\;\;\; = 2\cos^2{x} - 1 </math> | ||
: <math> \;\;\;\;\;\;\;\;\;\;\;\;\; = 1 - 2\sin^2{x} </math> | : <math> \;\;\;\;\;\;\;\;\;\;\;\;\; = 1 - 2\sin^2{x} </math> | ||
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* <math> \tan{(2x)} = \frac{2\tan{x}}{1 - \tan^2{x}} </math> | * <math> \tan{(2x)} = \frac{2\tan{x}}{1 - \tan^2{x}} </math> | ||
Latest revision as of 14:44, 23 September 2021
Double angle formulas:
- 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{(2x)} = 2\sin{x}\cos{x} }
- 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 \cos{(2x)} = \cos^2{x} - \sin^2{x} }
- 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 \;\;\;\;\;\;\;\;\;\;\;\;\; = 2\cos^2{x} - 1 }
- 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 \;\;\;\;\;\;\;\;\;\;\;\;\; = 1 - 2\sin^2{x} }
- 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 \tan{(2x)} = \frac{2\tan{x}}{1 - \tan^2{x}} }
Resources
- Double-angle formulas. Written notes created by Professor Esparza, UTSA.
