Six trigonometric functions and thier Properties

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TRIGONOMETRIC FUNCTIONS

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pre calculus

af Seongbin Hwang

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Trig Functions and Identities

af Emily Conte

Six trigonometric functions and thier Properties

Tangent Function: f(x)=tan(x)

Inverse: Cotangent

xint: x=k pi, where k is an integer

Domain: all real numbers except pi/2 + k pi, k is an integer

Cosine Function: f(x)=cos(x)

Inverse: Secant

xint: x=pi/2+kpi,-1

Range:[-1,1]

Sine Function: f(x)=sin(x)

Inverse: Cosecant

yint: y=0

Xint: x=k pi, where k is an integer

Range: [-1,1]

Domain: all real numbers

Cotangent Function: f(x)=cot(x)

Inverse is Tan

xint: x= pi/2 + k pi, where k is an integer

Period: pi

Range: all real numbers

Cosecant Function: f(x)=csc(x)

Inverse is Sin

Range: (-infinity, -1]U[1, +infinity)

Domain: all real numbers except k pi, k is an integer

Secant Function: f(x)=sec(x)

Inverse: Cosine

yint: y=1

Period: 2pi

Range: (-infinity, -1]U[1, +infinity

Domain: all real numbers except pi/2 + k pi, n is an integer