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If cot^(-1).(n)/(pi)gt(n)/(6),n in N, then the maximum value of n is : |
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Answer» 6 `rArr""(n)/(pi) LT cot.(pi)/(6)` [as `cot^(-1)x` is a DECREASING function] `rArr""(n)/(pi) lt sqrt3` `rArr""n lt sqrt3pi` `rArr""n lt 5.46` `rArr"MAXIMUM value of n is 5"` |
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