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lions [1.4K]
3 years ago
13

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

Mathematics
2 answers:
Nuetrik [128]3 years ago
4 0

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

Hence the domain of y is allx\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}


Travka [436]3 years ago
3 0

Answer:

True Ap ex

Step-by-step explanation:

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