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Naya [18.7K]
3 years ago
7

Find the domain of

TexFormula1" title="y = \frac{1}{(1 - \sin(x) } " alt="y = \frac{1}{(1 - \sin(x) } " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
8 0

Let's see

  • Denominator must not be equal to zero or the function becomes undefined

\\ \rm\rightarrowtail 1-sinx\neq 0

\\ \rm\rightarrowtail sinx\neq 1

\\ \rm\rightarrowtail x\neq \dfrac{n\pi}{2}

So

\\ \rm\rightarrowtail Domain\in R-\left\{\dfrac{n\pi}{2}\right\}

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