The domain of the function f x - -log 1 - sin x - is

The correct option is B R { nπ ,n∈ I} f( x ) is not defined when sinx=0 i.e. #160; x∈ nπ , #160; #160; n∈ I ∴ #160; # ...

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Standard XII

Mathematics

Greatest Integer Function

The domain of...

Question

The domain of the function $f (x) = \sqrt{log \frac{1}{| sin x |}}$ is

R - {2 n π, n \in I}

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R - {n π, n \in I}

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R - {- π, π}

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(- \infty, \infty)

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Solution

The correct option is B $R - {n π, n \in I}$
$f (x)$ is not defined when $s i n x = 0$
i.e. $x \in n π$ , $n \in I$
$∴$ domain of $f (x) = R - {n π, n \in I}$ [B]

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The domain of the function f(x)=√log1|sinx| is

The correct option is B R−{nπ,n∈I}f(x) is not defined when sinx=0i.e. x∈nπ , n∈I∴ domain of f(x)=R−{nπ,n∈I} [B]

The domain of the function $f (x) = \sqrt{log \frac{1}{| sin x |}}$ is

The correct option is B $R - {n π, n \in I}$
$f (x)$ is not defined when $s i n x = 0$
i.e. $x \in n π$ , $n \in I$
$∴$ domain of $f (x) = R - {n π, n \in I}$ [B]