Transcription of INVERSE TRIGONOMETRIC FUNCTIONS
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INVERSE TRIGONOMETRIC FUNCTIONS
Chapter2 INVERSE INVERSE functionInverse of a function f exists, if the function is one-one and onto, , TRIGONOMETRIC FUNCTIONS are many-one over their domains, we restrict theirdomains and co-domains in order to make them one-one and onto and then findtheir INVERSE . The domains and ranges (principal value branches) of inversetrigonometric FUNCTIONS are given below:FunctionsDomainRange (Principal valuebranches)y = sin 1x[ 1,1] ,22 y = cos 1x[ 1,1][0, ]y = cosec 1xR ( 1,1) , {0}22 y = sec 1xR ( 1,1)[0, ] 2 y = tan 1xR ,22 y = cot 1xR(0, )Notes: (i)The symbol sin 1x should not be confused with (sinx) sin 1x is anangle, the value of whose sine is x, similarly for other TRIGONOMETRIC FUNCTIONS .
Chapter 2 INVERSE TRIGONOMETRIC FUNCTIONS 2.1 Overview 2.1.1 Inverse function Inverse of a function ‘f ’ exists, if the function is one-one and onto, i.e, bijective. Since trigonometric functions are many-one over their domains, we restrict their
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