Home
Class 12
MATHS
The value of x for which sin(cot^-1(1+x)...

The value of x for which `sin(cot^-1(1+x))=cos (tan^-1x)` is

A

`pi/3`

B

`pi/2`

C

`2pi/3`

D

`5pi/6`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Recent IIT questions

    A DAS GUPTA|Exercise Exercise|20 Videos
  • Some New Pattern Problems

    A DAS GUPTA|Exercise Exercise|137 Videos

Similar Questions

Explore conceptually related problems

The value of x for which sin(cot^(-1)(1+x))=cos(tan^(-1)x) is (a) (1)/(2) (b) 1(c)0(d)-(1)/(2)

The value of x for which "sin"(cot^(-1)(1+x))="cos"(tan^(-1)x) is 1/2 (b) 1 (c) 0 (d) -1/2

If sin (cot^(-1)(1-x))=cos(tan^(-1)(-x)) , then x is

The number values of x if cos(tan^(-1)(1+x))=sin(cot^(-1)x) is/are

If sin{cot^(-1)(x+1)}=cos(tan^(-1)x), then find x.

The exhaustive set of values of a for which a - cot^(-1) 3x = 2 tan^(-1) 3x + cos^(-1) x sqrt3 + sin^(-1) x sqrt3 may have solution, is

A DAS GUPTA-Screening Tests-Exercise
  1. The solution of the differential equation y dx +(x +x^2 y) dy=0 is

    Text Solution

    |

  2. If theta and phi are positive acute angles satisfying sin theta =1/2 a...

    Text Solution

    |

  3. The value of x for which sin(cot^-1(1+x))=cos (tan^-1x) is

    Text Solution

    |

  4. The sides of a triangle are sin alpha, cos alpha and sqrt(1+ sin alpha...

    Text Solution

    |

  5. If the line 2x+sqrt6y=2 touches the hyperbola x^2-2y^2=4, then the po...

    Text Solution

    |

  6. If the lines (x-1)/2=(y+1)/3=(z-1)/4 and (x-3)/1=(y-k)/2=z/1 intersec...

    Text Solution

    |

  7. Let vec a , vec b, vec c be three non-zero vectors such that any two ...

    Text Solution

    |

  8. The probability that A speaks truth is (4)/(5), while this probability...

    Text Solution

    |

  9. If three distinct numbers are chosen randomly from the first 100 natur...

    Text Solution

    |

  10. If 4x^4 +9y^4= 64 then the maximum value of x^2+y^2 is (where x and y ...

    Text Solution

    |

  11. If log30(3)=alpha and log30(5)=beta, then log30(8) is equal to

    Text Solution

    |

  12. An infinite G.P has first term x and sum 5 then x belongs to ?

    Text Solution

    |

  13. The number of ways of distributing 8 identical balls in 3 distinct box...

    Text Solution

    |

  14. The coefficient of the middle term in the binomial expansion in powers...

    Text Solution

    |

  15. If (n-1)Cr=(k^2-3)nC(r+1),then k belong to

    Text Solution

    |

  16. If the graph of the function y = f(x) is symmetrical about the line x ...

    Text Solution

    |

  17. If the sides of a triangle are in the ratio 1 : sqrt3 : 2, then the an...

    Text Solution

    |

  18. Let f(x) be a strictly increasing and differentiable function, then li...

    Text Solution

    |

  19. If f(x) = x^(a) log x and f(0) = 0 then the value of alpha for which ...

    Text Solution

    |

  20. Let f(x) = (1-tanx)/(4x-pi), x != (pi)/4, x in [0,(pi)/2]. If f(x) is ...

    Text Solution

    |