What is the domain and range of y - cosec x- - Maths Q - A

Domain and range of y=cosec x.Domain of y=cosec(x)is x∈ R, x π n, n∈ ZRange of y=cosec(x)is y≤ – 1 or y≥ 1.Thus, Domain of y=cosec(x)is x∈ R, x π n, n∈ Z ...

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Standard XII

Mathematics

Domain and Range of Basic Inverse Trigonometric Functions

What is the d...

Question

What is the domain and range of $y = cosec x$ ?

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Solution

Domain and range of $y = cosec x$ .
Domain of $y = cosec (x)$ is $x \in R, x \neq π n, n \in Z$
Range of $y = cosec (x)$ is $y \leq - 1 or y \geq 1$ .
Thus, Domain of $y = cosec (x)$ is $x \in R, x \neq π n, n \in Z$
Range of $y = cosec (x)$ is $y \leq - 1 or y \geq 1$ .

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What is the domain and range of y=cosecx?

Domain and range of y=cosecx.Domain of y=cosecxis x∈R,x≠πn,n∈ZRange of y=cosecxis y≤–1ory≥1.Thus, Domain of y=cosecxis x∈R,x≠πn,n∈Z Range of y=cosecxis y≤–1ory≥1.

What is the domain and range of $y = cosec x$ ?

Domain and range of $y = cosec x$ .
Domain of $y = cosec (x)$ is $x \in R, x \neq π n, n \in Z$
Range of $y = cosec (x)$ is $y \leq - 1 or y \geq 1$ .
Thus, Domain of $y = cosec (x)$ is $x \in R, x \neq π n, n \in Z$
Range of $y = cosec (x)$ is $y \leq - 1 or y \geq 1$ .