ISRO | ISRO CS 2018 | Question 3

The domain of the function log( log sin(x) ) is
(A) 0 < x < π (B) 2nπ < x < (2n + 1) π , for n in N (C) Empty set
(D) None of the above

Answer: (C)

Explanation: log (log sin (x))-1 <= sinx <= +1log a is defined by the positive values ​​of a, log sin (x) defined sin (x) = (0,1] Possible values ​​for log sin (x) = (−∞, 0] Log domain (log sin (x)) = Unspecified. Therefore, option (C) is correct.

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