In continuation of the previous post on Inverse Trigonometric Functions , let us define the remaining three functions.

- The inverse cotangent function , denoted by cot
^{-1}is the function with domain R,range (-π/2,0) U (0,π/2], defined by y=cot^{-1}x => x = coty The inverse sine function is also called arccotangent , it is denoted by arccot. - The inverse secant function , denoted by sec
^{-1}is the function with domain (-∞,-1] U [1, ∞), range [0,π/2) U (π/2,π] , defined by y = sec^{-1}x => x = secy The inverse secant function is also called arcsecant , it is denoted by arcsec. - The inverse cosecant function , denoted by cosec
^{-1}is the function with domain (-∞,-1] U [1, ∞), range [-π/2,0) U (0,π/2] , defined by y = cosec^{-1}x => x = cosecy The inverse cosecant function is also called arccosec , it is denoted by arccosec.

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