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[ Fundamental Trigonometric Identities | Graphs Trigonometric Functions & their Properties ]
 

Fundamental Trigonometric Identities

Identities: Reciprocal | Quotient | Pythagorean | Opposite Angle | Double-Angle |
| Unit Circle | Converting Radian <=> Degree |

Reciprocal Identities

sine

cosine

tangent

cosecant

secant

cotangent



Quotient Identities

tangent

cotangent



Pythagorean Identities

Pythagorean Identity

Pythagorean Identity

Pythagorean Identity



Opposite Angle Identities

cosine of negative theta

sine of negative theta

tangent of negative theta

NB cosine is "even"

NB sine is "odd"

NB tangent is "odd"



Double-Angle Identities
sine of (2theta) cosine of (2theta)



The Unit Circle

The Unit Circle

Right Triangle
 trig functions in terms of x, y, r



Converting degrees to radians

Converting radians to degrees

Conversion Formula

 Conversion Formula

 
Last Updated: August 25, 2004.
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