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If cot^(-1)n/pi>pi/6,n in N , then the ...

If `cot^(-1)n/pi>pi/6,n in N ,` then the maximum value of `n` is 6 (b) `7` (c) 5 (d) none of these

A

A. 6

B

B. 7

C

C. 5

D

D. none of these

Text Solution

AI Generated Solution

To solve the inequality \( \cot^{-1} \left( \frac{n}{\pi} \right) > \frac{\pi}{6} \) where \( n \) is a natural number, we can follow these steps: ### Step 1: Rewrite the Inequality We start with the given inequality: \[ \cot^{-1} \left( \frac{n}{\pi} \right) > \frac{\pi}{6} \] ...
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