what is the domain of f(x)=cos (inverse) x + cot(inverse) x +cosec(inverse) x

f(x)=cos (inverse) x + cot(inverse) x +cosec(inverse) x

in case of cos inverse (x) we get the domain as [-1,1] ------------------------- 1

where as in the case of cot (inverse) x we get the domain as (-,)-------------------- 2

in case of cosec (inverse) x wee get the domain as (-,-1]U[1,)-----------------3

from intersection of 1 , 2 and 3 we get the domain of f(x) as {-1,1}

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