Find the domain of the function of 1/1-tanx
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Given : Function 1/1-tanx
To find : Domain of the function
Solution:
domain of the function of 1/(1-tanx)
tan x should not be = ∞
=> tan x ≠ ∞
=> x ≠ (2n+1)π/2 n ∈ Z
1- tanx should not be = 0
=> 1 - tanx ≠ 0
=> tanx ≠ 1
tanx ≠ nπ + π/4 n ∈ Z
Domain of 1/(1-tanx)
= R - { nπ + π/4 , (2n+1)π/2 }
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