Home
Class 12
MATHS
sin[cot^(-1) {tan(cos^(-1)x)}] is equal ...

`sin[cot^(-1) {tan(cos^(-1)x)}]` is equal to

A

`-x`

B

`x^(2)`

C

`x`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • Inverse Circular Functions

    A DAS GUPTA|Exercise Exercise|45 Videos

  • Integrated Tests

    A DAS GUPTA|Exercise Exercise|23 Videos

  • Limit, Indetermine Form

    A DAS GUPTA|Exercise Exercise|64 Videos

Similar Questions

Explore conceptually related problems

tan(cot^(-1)x) is equal to

cos[tan^(-1){sin(cot^(-1)x)}] is equal to

If x gt 0 then the value of sin [cot ^(-1) cos( tan^(-1)x)] is equal to-

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

The value of sin[cot^(-1){cos(tan^(-1) x)}] is

The value of sin{cot^(-1)[cos(cot^(-1)((1)/(x)))]} is equal to (x gt0)

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

If A=sin[cot^(-1){cos(tan^(-1)x)}], then

A DAS GUPTA-Inverse Circular Functions -Exercise
  1. 2sin^(-1) (sqrt(1-x)/2) = cos^(-1)().

    Text Solution

    |

  2. sin^(-1)(3x -4x^(3)) = lambda sin^(-1)x then lambda =.

    Text Solution

    |

  3. The numerical value of tan^(-1) 1+ tan^(-1)2 + tan^(-1)3 =.

    Text Solution

    |

  4. The numerical value of tan^(-1) 1+ tan^(-1) (1/2) + tan^(-1) (1/3) =.

    Text Solution

    |

  5. If x gt 1 then 2tan^(-1)x - tan^(-1) ((2x)/(1-x^(2))) =.

    Text Solution

    |

  6. cos^(-1) (63/65) + 2tan^(-1) (1/5)= sin^(1) ().

    Text Solution

    |

  7. The principal value of cos^(-1) (cos 7pi/6)= .

    Text Solution

    |

  8. The value of sin{tan^(-1) (tan ((7pi)/6) + cos^(-1)(cos ((7pi)/3))} is...

    Text Solution

    |

  9. sin[cot^(-1) {tan(cos^(-1)x)}] is equal to

    Text Solution

    |

  10. 2tan^(-1)x = tan^(-1) 2x/(1-x^(2)) is true if

    Text Solution

    |

  11. If tan^(-1)x+ tan^(-1)y + tan^(-1)z = pi, prove that x + y + z = xyz.

    Text Solution

    |

  12. Prove that : cos^(-1).(3)/(5)+ cos^(-1).(12)/(13) = sin^(-1)((63)/(65...

    Text Solution

    |

  13. If x gt 1 then 1/2 cos^(-1) ((x^(2)-1) /(x^(2)+1)) = tan^(-1).

    Text Solution

    |

  14. If tan^(-1) 1/2 + tan^(-1) a = pi/4 then a = .

    Text Solution

    |

  15. Prove that sin^(-1) (cos (sin^(-1) x)) + cos^(-1) (sin (cos^(-1) x))=...

    Text Solution

    |

  16. If tan^(-1) (sqrt(( 1 +x^(2)) -1)/x) = lambda tan^(-1)x then the val...

    Text Solution

    |

  17. If phi= tan^(-1)(( xsqrt3)/(2k-x)) and psi = tan^(-1) ((2x-k)/(k*sqrt...

    Text Solution

    |

  18. The principal value of cos^(-1)cos ((2pi)/3)+ sin^(-1) sin((2pi)/3) is

    Text Solution

    |

  19. If lambda is a root of x^(2) + 3x + 1 = 0 then tan^(-1) lambda+ tan^(-...

    Text Solution

    |

  20. The equation sin^(-1)x - 3sin^(-1)a =0 has real solutions for x if

    Text Solution

    |