Find the Domain of Sec − 1 X − Tan − 1 X - Mathematics

Question

Find the domain of $\sec^{- 1} x - \tan^{- 1} x$

Short Note

Solution

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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Inverse Trigonometric Functions (Simplification and Examples)

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Chapter 4: Inverse Trigonometric Functions - Exercise 4.04 [Page 18]

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Find the Domain of Sec − 1 X − Tan − 1 X - Mathematics

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