Q. 17 A

Find the domain of each of the following functions given by


Answer :

Given:


To find: the domain of function


Explanation: So the domain of a function consists of all the first elements of all the ordered pairs, i.e., x, so we have to find the values of x to get the required domain


Given,



We know the value of cos x lies between -1, 1, so


-1≤ cos x≤ 1


Multiplying by negative sign, we get


Or 1≥- cos x≥ -1


Adding with 1, we get


2≥1- cos x≥0…………(i)


Now for real value of


1- cos x≠0


cos x≠ 1


Or, x≠2nπ nZ


Hence the domain of f = R-{2nπ:nZ}


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