Find the domain ofsec-1 x - tan-1 x – InterviewSolution

1.

Find the domain ofsec-1 x - tan-1 x

Answer»

Domain of sec^-1x is (-∞, -1] ⋃ [1, ∞)

Domain of tan^-1x is R

Union of (1) and (2) will be domain of given function

(–∞,–1]⋃[1,∞) ⋃ R

⇒ (–∞,–1]⋃[1,∞)

\(\therefore\) The domain of given function is (–∞,–1]⋃[1,∞).

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