find the domain of f(x) =1/1-2cosx
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Step-by-step explanation:
Given, a function -
f
(
x
)
=
1
1
−
2
cos
x
We need to find the domain of the given function. Since the denominator can not be zero, then -
1
−
2
cos
x
=
0
should be removed from the domain of the function.
Hence,
cos
x
=
1
2
⇒
x
=
2
n
π
±
π
3
Hence, the domain of the function -
x
∈
R
−
(
2
n
π
±
π
3
)
Where
n
∈
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