作者:Travis Walker 9 年以前
778
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.
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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