Six trigonometric functions and thier Properties

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

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

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

Period: 2pi

yint: y=1

Inverse: Cosine

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

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

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

Period: 2pi

Inverse is Sin

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

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

Range: all real numbers

Period: pi

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

Inverse is Tan

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

Domain: all real numbers

Range: [-1,1]

Period: 2pi

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

yint: y=0

Inverse: Cosecant

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

Domain: all real numbers

Range:[-1,1]

Period: 2pi

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

yint: y=1

Inverse: Secant

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

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

Range: all real numbers

Period: pi

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

yint: y=0

Inverse: Cotangent