Question

The domain of y = csc x is given by x≠nπ. True or False?

Answer 1

Answer:

True          

Step-by-step explanation:

Given : The domain of $y = csc x$ is given by $x\neq n\pi$

The given statement is true.

Because,  $y = csc x$

$y =\frac{1}{sinx}{$

$sinx$ is defined for $\forall x\varepsilon \mathbb{R}$

$csc x$is defined whenever $sinx\neq 0\rightarrow x\neq n\pi,\forall n\varepsilon \mathbb{Z}$

Hence the domain of y is all$x\varepsilon \mathbb{R}: x\neq 0\rightarrow x\neq n\pi,\forall n\varepsilon \mathbb{Z}$

Therefore, the statement is true as the domain of $y = csc x$ is $x\varepsilon \mathbb{R}: x\neq 0\rightarrow x\neq n\pi,\forall n\varepsilon \mathbb{Z}$

Answer 2

Answer:

True Ap ex

Step-by-step explanation: