Question

Find the domain of

`y = (1)/((1 - \sin(x) )`
​

Answer 1

Let's see

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

`\\ \rm\rightarrowtail 1-sinx\\eq 0`

`\\ \rm\rightarrowtail sinx\\eq 1`

`\\ \rm\rightarrowtail x\\eq (n\pi)/(2)`

So

`\\ \rm\rightarrowtail Domain\in R-\left\{(n\pi)/(2)\right\}`