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स्थल i Tla ot Cot T he =i

Answer»

Proof:Let, tan−1x = θ

Therefore, x = tan θ

x = cot (π2- θ), [Since, cot (π2- θ) = tan θ]

⇒ cot−1x =π2- θ

⇒ cot−1x=π2- tan−1x, [Since, θ = tan−1x]

⇒ cot−1x + tan−1x =π2⇒ tan−1x + cot−1x =π2

Therefore, tan−1x + cot−1x =π2.Proved.

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