Home
Class 11
MATHS
If cot^(-1)""n/pi gt pi/6, n in N, then ...

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

A

6

B

7

C

5

D

10

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE -III LEVEL -II (ADVANCED) SINGLE ANSWER TYPE QUESTIONS)1|1 Videos
  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE -III LEVEL -II (ADVANCED) SINGLE ANSWER TYPE QUESTIONS)2|1 Videos
  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE -II LEVEL -I (ADVANCED) INTEGER ANSWER TYPE QUESTIONS)|4 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos
  • LIMITS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|143 Videos

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

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

If ""^((n+1))C_(3)+""^((n-1))C_(4)gt""^(n)C_(3) , then the minimum value of n is

For m=n and m, n in N then the value of int_(0)^(pi) cos m x cos n x dx =

If I_(n)=int_(0)^(pi)x^(n). sin x dx then the value of I_(5)+ 20I_(3)=

For m, n in N and m != n then the value of int_(0)^(pi) sin m x " " sin n x " " dx=

I : The solution of 7 sin^(2)x + 3 cos^(2)x=4 is {n pi pm pi//6 : n in Z} II : The solution of tan^(2)theta = 3 is {n pi pm pi//3 : n in Z}