The domain of the function f(x) =1sin⁡x+3sin⁡x is

f is defined for all values of x in R for which sin⁡x>0 i.e. x∈(2kπ,(2k+1)π),k∈I.

The domain of the function f(x) =1sin⁡x+3sin⁡x is

f is defined for all values of x in R for which sin⁡x>0 i.e. x∈(2kπ,(2k+1)π),k∈I.

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The domain of the function $f (x) =$ $\frac{1}{\sqrt{\sin x}} + 3 \sqrt{\sin x}$ is

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$[0, π]$

$\underset{k \in I}{\cup} [2 k π, (2 k + 1) π]$

$\underset{k \in I}{\cup} (2 k π, (2 k + 1) π)$

$\underset{k \in N}{\cup} [2 k π, (2 k + 1) π]$

answer is C.

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$f$ is defined for all values of $x$ in $R$ for which $\sin x > 0 i.e. x \in (2 k π, (2 k + 1) π), k \in I .$

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The domain of the function f(x) =1sin⁡x+3sin⁡x is

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The domain of the function $f (x) =$ $\frac{1}{\sqrt{\sin x}} + 3 \sqrt{\sin x}$ is