Simplify : cost-1(1/√(x2 - 1)), |x| > 1 – InterviewSolution

1.

Simplify : cost-1(1/√(x2 - 1)), |x| > 1

Answer»

Let x = secθ, then θ = sec^–1x ………………… (i)

cot^-1(1/√(x² - 1)) = cot^-1(1/√(sec2θ - 1)) = cot^-1(1/√tan²θ)

= cot^-1 (1/tanθ) = cot^-1(cotθ) = θ = sec^-1x

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