Home
Class 12
MATHS
The value of 2tan^(-1)(cos e ctan^(-1)x-...

The value of `2tan^(-1)(cos e ctan^(-1)x-tancot^(-1)x)` is equal to (a)`cot^(-1)x` (b) `cot^(-1)1/x` (c)`tan^(-1)x` (d) none of these

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO VECTORS

    CENGAGE|Exercise JEE Previous Year|20 Videos
  • JEE 2019

    CENGAGE|Exercise Chapter 10|9 Videos

Similar Questions

Explore conceptually related problems

Solve tan^(-1) x gt cot^(-1) x

Prove that 2tan^(-1)(cos e ctan^(-1)x-tancot^(-1)x)=tan^(-1)x(x!=0)dot

tan^(-1)x +cot^(-1) x= .......

Draw the graph of y=tan^(-1)x-cot^(-1)x .

The value of lim_(|x| rarr oo) cos (tan^(-1) (sin (tan^(-1) x))) is equal to

int e^(tan^-1x)(1+x+x^2) d(cot^-1x) is equal to

tan^-1[(cos x)/(1+sin x)] is equal to

The value of int_(0)^(1)(tan^(-1)x)/(cot^(-1)(1-x+x^(2))dx is____.

Evaluate : sin (tan^(-1) x + cot^(-1) x )

sec^2(tan^(-1)2)+cos e c^2(cot^(-1)3) is equal to (a)5 (b) 13 (c) 15 (d) 6

CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. The value of tan[cos^(-1)(4/5)+tan^(-1)(2/3)] is 6/(17) (b) 7/(16) (...

    Text Solution

    |

  2. If tan^(-1)(sqrt(1+x^2-1))/x=4^0 then

    Text Solution

    |

  3. The value of 2tan^(-1)(cos e ctan^(-1)x-tancot^(-1)x) is equal to (a...

    Text Solution

    |

  4. If sin^(-1)x=2sin^(-1)alpha has a solution, then

    Text Solution

    |

  5. If sin^(-1)x+sin^(-1)y=pi/2,t h e n(1+x^4+y^4)/(x^2-x^2y^2+y^2) is equ...

    Text Solution

    |

  6. The value of (alpha^3)/2cos e c^2(1/2tan^(-1)alpha/beta)+(beta^3)/2sec...

    Text Solution

    |

  7. There exists a positive real number of x satisfying "cos"(tan^(-1)x)=x...

    Text Solution

    |

  8. The value of "tan"(sin^(-1)("cos"(sin^(-1)x)))"tan"(cos^(-1)(sin(cos^(...

    Text Solution

    |

  9. The solution set of inequality (cot^(-1)x)(tan^(-1)x)+(2-pi/2)cot^(-1)...

    Text Solution

    |

  10. Each question contains statement given in two columns. Statement a,b...

    Text Solution

    |

  11. If x=sin^(-1)(a^6+1)+cos^(-1)(a^4+1)-tan^(-1)(a^2+1),a in R , then th...

    Text Solution

    |

  12. The number of values of x for which sin^(-1)(x^2-(x^4)/3+(x^6)/9)+cos...

    Text Solution

    |

  13. Find the range of cot^(-1)(2x-x^2)

    Text Solution

    |

  14. Prove : sin ^(-1) ""(5/13) + cos^(-1) (3/5) = tan^(-1) ""(63)/(16)

    Text Solution

    |

  15. If [ 4 a 2 4 a 1 4 b 2 4 b 1 4 c 2 4c 1   ] [ ...

    Text Solution

    |

  16. If tan^(-1)(a+x)/a+tan^(-1)(a-x)/a=pi/6,t h e nx^2= (a)2sqrt(3)a (b)...

    Text Solution

    |

  17. The value of k(k >0) such that the length of the longest interval ...

    Text Solution

    |

  18. Which of the following pairs of function/functions has same graph? y=...

    Text Solution

    |

  19. If cot^(-1)((n^2-10 n+21. 6)/pi)>pi/6, where x y<0 then the possible v...

    Text Solution

    |

  20. If z=sec^(-1)(x+1/x)+sec^(-1)(y+1/y), where x y<0, then the possible v...

    Text Solution

    |