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प्रश्न
Find the domain of `sec^(-1) x-tan^(-1)x`
उत्तर
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,∞)
∴ The domain of given function is (–∞,–1]⋃[1,∞).
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