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ISRO201815
+2
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The domain of the function log (log sin(x)) is:
$0<x<$$\pi$
$2n$$\pi$$<$$x$$<$$(2n+1)$$\pi$, for $n$ in $N$
Empty set
None of the above
isro2018
functions
settheory&algebra
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Apr 22, 2018
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Arjun
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3
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Best answer
log( log sin(x) )
1 <= sinx<= +1
log a is defined for positive values of a,
log sin(x) is defined for sin(x)= (0,1]
Possible values for log sin(x) = ($\infty$ , 0]
Domain of log( log sin(x) )=Not defined
Therefore, Answer (c) Empty Set
answered
Apr 23, 2018
by
VS
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edited
Apr 26, 2018
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VS
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there is a difference between range and domain of a function, Question is asking domain not range.
0
* log sin(x) is defined for sin(x)= (0,1]
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C empty set
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Apr 22, 2018
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Vikas Yadav 1
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Option C is correct.
We can satisfy inner log using $x=\pi / 2$, but can't satisfy outer log at the same time. Thus, empty set.
answered
Apr 22, 2018
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Akhilesh Singla
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Answer:
C
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