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.
Quiz of this Question