Book: RD Sharma - Mathematics (Volume 1)
Chapter: 4. Inverse Trigonometric Functions
Subject: Maths - Class 12th
Q. No. 2 of Exercise 4.6
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2
Find the domain of f(x) = cotx + cot–1 x.
Now the domain of cot x is ℝ
While the domain of cot–1x is [0,π ]
∴ The union of these two will give the domain of f(x)
⇒ ℝ ⋃ [0,π]
= [0,π]
∴ The domain of f(x) is [0,π]
