Trigonometry Definition Math Sheet

An Engineers Quick Trigonometry Definition Reference

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$trigonometry definition sheet$

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

$definition of the sine function$

Cosine DefinitionReturn to Top

$definition of the cosine function$

Tangent DefinitionReturn to Top

$definition of the tangent function$

Cosecant DefinitionReturn to Top

$definition of the cosecant function$

Secant DefinitionReturn to Top

$definition of the secant function$

Cotangent DefinitionReturn to Top

$definition of the cotangent function$

Unit Circle DefinitionReturn to Top

$unit circle definition for sine$

$unit circle definition for cosine$

$unit circle definition for tangent$

$unit circle definition for cosecant$

$unit circle definition for secant$

$unit cirle definition for cotangent$

Properties of Trig FunctionsReturn to Top

DomainReturn to Top

The possible angle input for each function is defined below:

$domain of sine function$

$domain of cosine function$

$domain of tangent function$

$domain of cosecant function$

$domain of secant function$

$domain of cotanent function$

RangeReturn to Top

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

$range of sine function$

$range of cosine function$

$range of tangent function$

$range of cosecant function$

$range of secant function$

$range of cotangent function$

PeriodReturn to Top

The periods for each of these trig functions are:

$period of sine function$

$period of cosine function$

$period of tangent function$

$period of cosecant function$

$period of secant function$

$period of cotangent function$

Inverse Trig FunctionsReturn to Top

Definition of Inverse Trig FunctionsReturn to Top

The definitions of the inverse trig functions are:

$definition of inverse sine$

$definition of inverse cosine$

$definition of inverse tangent$

Inverse Trig functions are also notated as:

$inverse notation of asin$

$inverse notation of acos$

$inverse notation of atan$

Domain of Inverse Trig FunctionsReturn to Top

$domain of inverse sin$

$domain of inverse cosine$

$domain of inverse tangent$

Range of Inverse Trig FunctionsReturn to Top

$range of inverse sin$

$range of inverse cosine$

$range of inverse tangent$