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| align="right" style="padding-right: 1em;" | Definition of cotangent | | align="right" style="padding-right: 1em;" | Definition of cotangent | ||
| − | | <math> \cot \theta = \frac{\cos \theta}{\sin\theta} </math> [[User:Kumar51formulas|credit]] | + | | <math> \cot \theta = \frac{\cos \theta}{\sin\theta} \ </math> [[User:Kumar51formulas|credit]] |
|- | |- | ||
| align="right" style="padding-right: 1em;" | Definition of secant | | align="right" style="padding-right: 1em;" | Definition of secant | ||
| − | | <math>\sec \theta = \frac{1}{\cos \theta}</math> | + | | <math>\sec \theta = \frac{1}{\cos \theta} \ </math> |
|- | |- | ||
| align="right" style="padding-right: 1em;" | Definition of cosecant | | align="right" style="padding-right: 1em;" | Definition of cosecant | ||
| − | | <math>\csc \theta = \frac{1}{\sin \theta}</math> | + | | <math>\csc \theta = \frac{1}{\sin \theta} \ </math> |
| + | |- | ||
| + | | align="right" style="padding-right: 1em;" | Definition of versed sine (versine) | ||
| + | | <math>\text{ver } \theta = 1- \cos \theta \ </math> | ||
| + | |- | ||
| + | | align="right" style="padding-right: 1em;" | Definition of versed cosine (versine) | ||
| + | | <math>\text{vercosine } \theta = 1+ \cos \theta \ </math> | ||
| + | |- | ||
| + | | align="right" style="padding-right: 1em;" | please continue | ||
| + | | place formula here | ||
|- | |- | ||
! style="background: rgb(238, 238, 238) none repeat scroll 0% 0%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial;" colspan="2" | Pythagorean identity and other related identities | ! style="background: rgb(238, 238, 238) none repeat scroll 0% 0%; -moz-background-clip: -moz-initial; -moz-background-origin: -moz-initial; -moz-background-inline-policy: -moz-initial;" colspan="2" | Pythagorean identity and other related identities | ||
|- | |- | ||
| align="right" style="padding-right: 1em;" | Pythagorean identity | | align="right" style="padding-right: 1em;" | Pythagorean identity | ||
| − | | <math>\cos^2 \theta+\sin^2 \theta =1</math> | + | | <math>\cos^2 \theta+\sin^2 \theta =1 \ </math> |
| + | |- | ||
| + | | align="right" style="padding-right: 1em;" | | ||
| + | | <math>\sin^2 \theta = 1-\cos^2 \theta \ </math> | ||
| + | |- | ||
| + | | align="right" style="padding-right: 1em;" | | ||
| + | | <math>\cos^2 \theta = 1-\sin^2 \theta \ </math> | ||
| + | |- | ||
| + | | align="right" style="padding-right: 1em;" | | ||
| + | | <math>\sec^2 \theta = 1+\tan^2 \theta \ </math> | ||
| + | |- | ||
| + | | align="right" style="padding-right: 1em;" | | ||
| + | | <math>\csc^2 \theta = 1+\cot^2 \theta \ </math> | ||
|- | |- | ||
| align="right" style="padding-right: 1em;" | write name here | | align="right" style="padding-right: 1em;" | write name here | ||
Revision as of 08:14, 22 October 2010
| Trigonometric Identities | |
|---|---|
| Basic Definitions | |
| Definition of tangent | $ \tan \theta = \frac{\sin \theta}{\cos\theta} $ credit |
| Definition of cotangent | $ \cot \theta = \frac{\cos \theta}{\sin\theta} \ $ credit |
| Definition of secant | $ \sec \theta = \frac{1}{\cos \theta} \ $ |
| Definition of cosecant | $ \csc \theta = \frac{1}{\sin \theta} \ $ |
| Definition of versed sine (versine) | $ \text{ver } \theta = 1- \cos \theta \ $ |
| Definition of versed cosine (versine) | $ \text{vercosine } \theta = 1+ \cos \theta \ $ |
| please continue | place formula here |
| Pythagorean identity and other related identities | |
| Pythagorean identity | $ \cos^2 \theta+\sin^2 \theta =1 \ $ |
| $ \sin^2 \theta = 1-\cos^2 \theta \ $ | |
| $ \cos^2 \theta = 1-\sin^2 \theta \ $ | |
| $ \sec^2 \theta = 1+\tan^2 \theta \ $ | |
| $ \csc^2 \theta = 1+\cot^2 \theta \ $ | |
| write name here | place formula here |
