Home
Class 12
MATHS
Complete solution set of (cot^(-1)x)+2(t...

Complete solution set of `(cot^(-1)x)+2(tan^(-1)x)=0,` where `[]` denotes the greatest integer function, is equal to `(0,cot1)` (b) `(0,tan1)` `(tan1,oo)` (d) `(cot1,tan1)`

A

`(0, cot 1)`

B

`( 0, tan 1)`

C

`( tan 1, infty)`

D

`( cot 1, tan1)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|18 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|14 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 7|7 Videos

  • INDEFINITE INTEGRAL

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

  • LIMITS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 6|5 Videos

Similar Questions

Explore conceptually related problems

Complete solution set of [cot^(-1)x]+2[tan^(-1)x]=0, where [] denotes the greatest integer function, is equal to (a) (0,cot1) (b) (0,tan1) (tan1,oo) (d) (cot1,tan1)

Sove [cot^(-1) x] + [cos^(-1) x] =0 , where [.] denotes the greatest integer function

lim_(xrarr0) [(sin^(-1)x)/(tan^(-1)x)]= (where [.] denotes the greatest integer function)

Equation [cot^(-1) x] + 2 [tan^(-1) x] = 0 , where [.] denotes the greatest integer function, is satisfied by

The value of int_(0)^(10pi)[tan^(-1)x]dx (where, [.] denotes the greatest integer functionof x) is equal to

If [sin^-1 (cos^-1(sin^-1 (tan^-1 x)))]=1 , where [*] denotes the greatest integer function, then x in

The complete solution set of the inequality [cot^(-1)x]^2-6[cot^(-1)x]+9leq0 where [ ] denotes greatest integer function, is

Find x satisfying [tan^(-1)x]+[cot^(-1)x]=2, where [.] represents the greatest integer function.

Solve (i) lim_(xtooo)tan^(-1)x (ii) lim_(xto-oo)tan^(-1)x (where [.] denotes greatest integer function)

The value of int_(0)^(100)[ tan ^(-1)x] d x is equal to (where [.] denotes the greatest integer function)

ARIHANT MATHS ENGLISH-INVERSE TRIGONOMETRIC FUNCTIONS-Exercise (Single Option Correct Type Questions)
  1. If cosec^(-1) ( cosec x) " and " cosec ( cosec^(-1) x) are equal func...

    Text Solution

    |

  2. The value of underset(|x| rarr oo)("lim") cos (tan^(-1) (sin (tan^(-1)...

    Text Solution

    |

  3. Complete solution set of (cot^(-1)x)+2(tan^(-1)x)=0, where [] denotes ...

    Text Solution

    |

  4. If sin^(-1) : [-1, 1] rarr [(pi)/(2), (3pi)/(2)] and cos^(-1) : [-1, 1...

    Text Solution

    |

  5. If asin^(-1)x-bcos^(-1)x=c , then asin^(-1)x+bcos^(-1)x is equal to 0 ...

    Text Solution

    |

  6. The number of integer x satisfying sin^(-1) |x -2| + cos^(-1) (1 -|3 -...

    Text Solution

    |

  7. The value of alpha such that sin^(-1)2/(sqrt(5)),sin^(-1)3/(sqrt(10)),...

    Text Solution

    |

  8. L e t|tan^(-1)xtan^(-1)2xtan^(-1)3xtan^(-1)3xtan^(-1)xtan^(-1)2xtan^(-...

    Text Solution

    |

  9. If alpha is the only real root of the equation x^(3) + bx^(2) + cx + 1...

    Text Solution

    |

  10. Let u = cot^(-1) sqrt(cos 2 theta) - tan^(-1) sqrt( cos 2 theta) , ...

    Text Solution

    |

  11. Let f(x)= cos^(-1) ((1-x^2)/(1+x^2))= 2 tan^(-1)x x ge 0 , =-2 tan^(-1...

    Text Solution

    |

  12. Let f(x)= sin^(-1)((2x)/(1+x^2))AAx in R. The function f(x) is continu...

    Text Solution

    |

  13. Let f: Rvec[0,pi/2) be defined by f(x)=tan^(-1)(x^2+x+a)dot Then the s...

    Text Solution

    |

  14. Let f(x)=sin^(-1)2x + cos^(-1)2x + sec^(-1)2x. Then the sum of the max...

    Text Solution

    |

  15. If tan^(-1) . b/(c+a) + tan^(-1) . (c)/(a + b) = pi/4where a, b, c , a...

    Text Solution

    |

  16. Solutions of sin^(-1) (sinx) = sinx are if x in (0, 2pi)

    Text Solution

    |

  17. The equation e^(sin^(-1)x)/pi=y/(log y) has

    Text Solution

    |

  18. Let f(x) =1+2sin(e^x/(e^x+1)) x ge 0 then f^(-1)(x) is equal to (assu...

    Text Solution

    |

  19. cos^(-1) (cos (2 cot^(-1) (sqrt2 -1))) is equal to

    Text Solution

    |

  20. The maximum value of f(x)=tan^(-1)(((sqrt(12)-2)x^2)/(x^4+2x^2+3)) is...

    Text Solution

    |