Question

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

Answer 1

Answer:

REFER TO THE ATTACHMENT FOR EXPLANATION

Answer 2

cot-1  (1 / √x2 - 1)

Put x = sec θ

= cot-1  (1 / √sec2 θ - 1)

= cot-1  (1 / √tan2 θ)

= cot-1  (1 / tan θ)

= cot-1  (cot θ)

= θ

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