Question

$\textsf {Find the domain of the function \rm f(x)=\dfrac{1}{\sqrt{1-cos \:x}} }$

Class 11
Relation and function

Answer 1

Answer:

Step-by-step explanation:

Answer 2

EXPLANATION.

Domain of the function,

⇒ f(x) = 1/√1 - cos(x).

As we know that,

⇒ 1 - cos x > 0.

⇒ cos x < 1.

it means = x ∈ R.

As we know that,

⇒ 1 - cos x ≠ 0.

⇒ cos x ≠ 1.

⇒ x ≠ 0, ± 2π, ± 4π.

⇒ x ≠ 2nπ.

Domain of the function = x ∈ R - { 2nπ}.