Home
Class 12
MATHS
The value of underset(|x| rarr oo)("lim"...

The value of `underset(|x| rarr oo)("lim") cos (tan^(-1) (sin (tan^(-1) x)))` is equal to

A

`-1`

B

`sqrt(3)`

C

`-1/sqrt(2)`

D

`1/sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP: CHAPTER 3-3.1|10 Videos

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP: CHAPTER 3-3.2|17 Videos

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS - PART-B: MASTERING THE BEST|27 Videos

  • THREE DIMENSIONAL GEOMETRY

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|39 Videos

  • VECTORS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos

Similar Questions

Explore conceptually related problems

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

Evaluate underset( x rarr oo) ( "lim") ( pi - 2 tan^(-1) x ) ln x

lim_(x rarr oo)((x+5)tan^(-1)(x+5)-(x+1)tan^(-1)(x+1) is equal to

underset( x rarr 0 ) ( "lim")( (1- cos 2x) ( 3 + cos x ))/( x tan 4x) is equal to :

The value of underset( x rarr 0 ) ( "Lim") ( sin ( ln ( 1+ x)))/( ln ( 1+ sin x )) is

lim_(x rarr0)(sin^(-1)x-tan^(-1)x)/(x^(3)) is equal to

Find underset( x rarr0 ) ( "Lim") ( tan x - sin x )/( x^(3))

lim_(x rarr0)(cos^(-1)(cos x))/(sin^(-1)(sin x)) is equal to :

MARVEL PUBLICATION-TRIGONOMETRIC FUNCTIONS-MASTERING THE BEST - ALL TOPICS
  1. In a DeltaABC, if A=45^(@) and B=75^(@), then a+sqrt(2)c=

    Text Solution

    |

  2. If, in a triangleABC, (a+b+c)(b+c-a)=kbc, then k lies in the interval

    Text Solution

    |

  3. If, in a triangleABC, A=60^(@), then: (1+a/c + b/c)(1+c/b - a/b)=

    Text Solution

    |

  4. If, in a /\ ABC, (2 cos A)/a + (cos B)/(b) + (2 cos C)/(c) = a/(bc) ...

    Text Solution

    |

  5. If, in a trianglePQR, sin P, sin Q, sin R are in the A.P, then its alt...

    Text Solution

    |

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

    Text Solution

    |

  7. tan^(-1)3 + tan^(-1)4=

    Text Solution

    |

  8. If: 3 sin^(-1)((2x)/(1+x^(2))) - 4 cos^(-1)((1-x^(2))/(1+x^(2))) + 2 t...

    Text Solution

    |

  9. If tan^(-1)(1/(2+sqrt(3)))-tan^(-1)1/x=tan^(-1)1/3, then x is equal to...

    Text Solution

    |

  10. If: sin^(-1)x = alpha + beta and sin^(-1)y = alpha - beta, then: 1+xy=

    Text Solution

    |

  11. If x^2 + y^2 + z^2 = r^2 and x, y, z > 0, then tan^-1((xy)/(zr))+tan...

    Text Solution

    |

  12. if cos ^(-1 ) ""(x )/(a) + cos ^(-1 )""(y)/(b ) = alpha prove t...

    Text Solution

    |

  13. If u=cot^-1 sqrt(tanalpha)-tan^-1 sqrt(tan alpha), then tan(pi/4-u/2) ...

    Text Solution

    |

  14. The sum of the infinite terms of the series "tan"^(-1)((1)/(3))+ "tan...

    Text Solution

    |

  15. If sin^(-1)sqrt(x^2+2x + 1) + sec^(-1)sqrt(x^2 + 2x + 1) = pi/2; x!= 0...

    Text Solution

    |

  16. If, in a triangleABC, tan(A/2) =5/6 and tan(C/2) = 2/5, then:

    Text Solution

    |

  17. If y= sin^(2)theta + cosec^(2)theta, theta ne 0, then

    Text Solution

    |

  18. If tan theta =-4/3, then sin theta is

    Text Solution

    |

  19. If f: R toS, defined by f(x) = sin x -sqrt(3) cos x + 1, is onto then ...

    Text Solution

    |

  20. Let cos(alpha+beta) =4/5 and let sin (alpha-beta)=5/13 where 0 le alph...

    Text Solution

    |