1.

If cot^(-1).(n)/(pi)gt(n)/(6),n in N, then the maximum value of n is :

Answer»

6
7
5
None of these

Solution :`COT^(-1).(n)/(pi) GT(pi)/(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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