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Write cot-1 (1/√x2 - 1), x > 1 in the simplest form. |
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Answer» Let x = sec q ⇒ q = sec-1 x. Now cot-1(1/√x2 - 1) cot-1(1/√sec2 θ - 1) cot-1(1/tanθ) = cot-1(cot θ) = θ = sec-1 x. |
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