Question

Find the domain ofTexFormula1" title="y = \frac{1}{(1 - \sin(x) } " alt="y = \frac{1}{(1 - \sin(x) } " align="absmiddle" class="latex-formula">
​

Answer 1

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

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