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Express cot⁻¹[1/√(x² - 1)], x > 1, in simplest form.
Acosec⁻¹x
Bsec⁻¹x
Ctan⁻¹x
Dcos⁻¹x
Answer & Solution
Correct answer: B. sec⁻¹x
Putting x = sec θ gives √(x² - 1) = tan θ, so the expression is cot⁻¹(cot θ) = θ = sec⁻¹x.
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