Home
Class 12
MATHS
If cot^(-1)(n/(pi))>(pi)/6, n in N, then...

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

A

A. 6

B

B. 7

C

C. 5

D

D. none of these

Text Solution

Verified by Experts

`cot^(-1).(n)/(pi) gt (pi)/(6)`
or `(n)/(pi) lt cot.(pi)/(6)` [as `cot^(-1) x` is a decreasing function]
or `(n)/(pi) lt sqrt3`
or `n lt sqrt3pi`
or `n lt 5.46`
or maximum value of `n` is 5
Promotional Banner

Similar Questions

Explore conceptually related problems

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

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

If cot^(-1)(n)/(pi)lt(pi)/(6),ninN then find the maximum value of n

If cot^(-1)(n/(pi))lt(pi)/(6),ninN then find the minimum value of n

If cot^(-1)((n^2-10 n+21. 6)/pi)>pi/6, then the possible values of n is/are (a) 3 (b) 2 (c) 4 (d) 8

If cot^(-1)((n^2-10 n+21. 6)/pi)>pi/6, then the possible values of n is/are (a) 3 (b) 2 (c) 4 (d) 8

If cot^(-1)((n^(2)-10n+21.6)/(pi))gt(pi)/6, n in N then n can be

If cos^(-1)((n)/(2pi)) gt(2pi)/(3) then maximum and minimum values of integer n are respectively

If cos^(-1)((n)/(2pi)) gt(2pi)/(3) then maximum and minimum values of integer n are respectively