Categorías: Todo - tangent - cosine - sine

por Travis Walker hace 9 años

781

Six trigonometric functions and thier Properties

Trigonometric functions are integral to various mathematical applications, each with unique properties and characteristics. The cosecant function, which is the inverse of the sine function, has a period of 2π and a domain excluding integer multiples of π.

Six trigonometric functions and thier Properties

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