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Question Number 71448 by aliesam last updated on 15/Oct/19

$$findthedomain$$$$$$$$f\left(x\right)=\frac{1}{sin\left(sin\left(x\right)\right)}$$

Commented by kaivan.ahmadi last updated on 15/Oct/19

$$sin\left(sinx\right)=0\Rightarrow sinx=k\pi ;k\in \mathbb{Z}$$$$butsince-1⩽sinx⩽1so-1⩽k\pi ⩽1\Rightarrow k=0\Rightarrow$$$$sinx=0\Rightarrow x=k\pi ;k\in \mathbb{Z}$$$$\Rightarrow D_f=\mathbb{R}-\{k\pi \mid k\in \mathbb{Z}\}$$

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