1.

Write cot-1 (1/√x2 - 1), x > 1 in the simplest form.

Answer»

Let x = sec q ⇒ q = sec-1 x.

Now cot-1(1/√x2 - 1) cot-1(1/√secθ - 1)

cot-1(1/tanθ) = cot-1(cot θ) = θ = sec-1 x.



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