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Trig Definition Math Help Right Triangle Def. Sine Def. Cosine Def. Tangent Def. Cosecant Def. Secant Def. Cotangent Def. Unit Circle Def. Properties of Trig Func. Domain Range Period Inverse Trig Func. Def. of Inverse Trig Func. Domain of Inverse Trig Range of Inverse Trig

Trig Definition Math Help

Right Triangle DefinitionReturn to Top

To define the trigonometric functions of an angle theta assign one of the angles in a right triangle that value. The functions sine, cosine, and tangent can all be defined by using properties of a right triangle. A right triangle has one angle that is 90 degrees. The longest side of the triangle is the hypotenuse. The side opposite theta will be referred to as opposite. The other side next to theta will be referred to as adjacent. The following properties exist:

Sine DefinitionReturn to Top

Cosine DefinitionReturn to Top

Tangent DefinitionReturn to Top

Cosecant DefinitionReturn to Top

Secant DefinitionReturn to Top

Cotangent DefinitionReturn to Top

Unit Circle DefinitionReturn to Top

Properties of Trig FunctionsReturn to Top

DomainReturn to Top

The possible angle input for each function is defined below:

RangeReturn to Top

The ranges of values possible for each of these functions are:

PeriodReturn to Top

The periods for each of these trig functions are:

Inverse Trig FunctionsReturn to Top

Definition of Inverse Trig FunctionsReturn to Top

The definitions of the inverse trig functions are:

Inverse Trig functions are also notated as:

Domain of Inverse Trig FunctionsReturn to Top

Range of Inverse Trig FunctionsReturn to Top