Difference between revisions of "Half-angle formulas"
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| + | Half angle identities: | ||
| + | |||
| + | * <math> \sin{\left(\frac{x}{2}\right)} = \pm \sqrt{\frac{1 - \cos{x}}{2}} </math> | ||
| + | |||
| + | * <math> \cos{\left(\frac{x}{2}\right)} = \pm \sqrt{\frac{1 + \cos{x}}{2}} </math> | ||
| + | |||
| + | * <math> \tan{\left(\frac{x}{2}\right)} = \pm \sqrt{\frac{1 - \cos{x}}{1 + \cos{x}}} </math> | ||
| + | ::::: <math> = \frac{\sin{x}}{1 + \cos{x}} </math> | ||
| + | ::::: <math> = \frac{1 - \cos{x}}{\sin{x}} </math> | ||
| + | |||
| + | ==Resources== | ||
* [https://mathresearch.utsa.edu/wikiFiles/MAT1093/Half-angle%20formulas/Esparza%201093%20Notes%203.6B.pdf Half-angle formulas]. Written notes created by Professor Esparza, UTSA. | * [https://mathresearch.utsa.edu/wikiFiles/MAT1093/Half-angle%20formulas/Esparza%201093%20Notes%203.6B.pdf Half-angle formulas]. Written notes created by Professor Esparza, UTSA. | ||
Revision as of 14:55, 23 September 2021
Half angle identities:
Resources
- Half-angle formulas. Written notes created by Professor Esparza, UTSA.
