Book: RD Sharma - Mathematics (Volume 1)
Chapter: 4. Inverse Trigonometric Functions
Subject: Maths - Class 12th
Q. No. 3 of Exercise 4.4
Listen NCERT Audio Books - Kitabein Ab Bolengi
3
Find the domain of
sec–1 x–tan–1x
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,∞).
3
