Six trigonometric functions and thier Properties

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TRIGONOMETRIC FUNCTIONS

av MAMADOU BARRY

pre calculus

av Seongbin Hwang

Rate of Change

av Lina Fahimah Ali

Rate of Change

av Lina Fahimah Ali

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