1.

Find the domain of f(x) = cot x + cot–1 x.

Answer»

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]



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