Home
Class 12
MATHS
If sec ^(-1) x=cosec^(-1) y then cos ^(-...

If `sec ^(-1) x=cosec^(-1) y` then `cos ^(-1) (1)/(x)+cos ^(-1) (1)/(y)=`

A

`pi`

B

`(pi)/(4)`

C

`-(pi)/(2)`

D

`(pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|404 Videos
  • LIMITS, CONTINUITY AND DIFFERENTIABILITY

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|354 Videos

Similar Questions

Explore conceptually related problems

If sin^(-1) x + sin^(-1) y = (2pi)/3", then " cos^(-1) x + cos^(-1) y

If sin^(-1) x + cos ^(-1) y = (2pi)/5 , then cos^(-1) x + sin ^(-1) y is

sec (cosec^(-1) x)=

If sin^(-1)x+cos^(-1)y=(2pi)/5," then "cos^(-1)x+sin^(-1)y is

If sin^(-1) x + sin^(-1) y=pi/2 , then the value of cos^(-1) x +cos^(-1) y is :

cos(sec^(-1)x+cosec^(-1)x),|x|ge1

If ((x+1)^(2))/(x^(3)+x)=(A)/(x)+(Bx+C)/(x^(2)+1) , then "cosec"^(-1) ((1)/(A)) + cot^(-1) ((1)/(B))+sec^(-1)C= ______

If cos ^(-1) x+cos ^(-1) y+cos ^(-1) z=3 pi then x y+y z+z x=

HIMALAYA PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. If sin ^(-1) x+cot ^(-1) (1)/(2)=(pi)/(2), then x=

    Text Solution

    |

  2. The value of cos^(-1) ("cos" (5pi)/3)+sin^(-1) ("sin"(5pi)/3) is :

    Text Solution

    |

  3. If sec ^(-1) x=cosec^(-1) y then cos ^(-1) (1)/(x)+cos ^(-1) (1)/(y)=

    Text Solution

    |

  4. If 0 le x le 1 and theta = sin^(-1) x + cos^(-1) x - tan^(-1) x, then

    Text Solution

    |

  5. sec (cosec^(-1) x)=

    Text Solution

    |

  6. tan [sin ^(-1)((3)/(5))-cos ^(-1)(-(4)/(5))]=

    Text Solution

    |

  7. If 2 tan ^(-1)(cos x)=tan ^(-1)cosec^(2) x) then x=

    Text Solution

    |

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

    Text Solution

    |

  9. The values of x satisfying tan ^(-1)(x+3)-tan ^(-1)(x-3)=sin ^(-1)((3...

    Text Solution

    |

  10. cos ^(-1) (1)/(2)+2 sin ^(-1) (1)/(2)=

    Text Solution

    |

  11. The value of tan (cos ^(-1) (4)/(5)+tan ^(-1) (2)/(3)) is

    Text Solution

    |

  12. (C(0))/(1)-(C(1))/(2)+(C(2))/(3)+.. . .+((-1)^(n))/(n+1). C(n) =

    Text Solution

    |

  13. The number of real solutions of the equation tan^(-1) sqrt( x ( x + 1)...

    Text Solution

    |

  14. If tan^(-1)((1-x)/(1+x))=1/2tan^(-1)x,xgt0 find x

    Text Solution

    |

  15. If sum(r=1)^(infty) tan ^(-1)((1)/(2 r^(2)))=t then tan t is equal to

    Text Solution

    |

  16. If sin^(-1) ((2a)/(1+a^2))+cos^(-1) ((1-a^2)/(1+a^2))=tan^(-1) ((2x)/(...

    Text Solution

    |

  17. The solution set of the equation sin ^(-1) x=2 tan ^(-1) x is

    Text Solution

    |

  18. Let (x, y) be such that sin ^(-1)(alpha x)+cos ^(-1) y+cos ^(-1)(b x y...

    Text Solution

    |

  19. Let cos (2 tan ^(-1) x)=(1)/(2) then the value fo x is

    Text Solution

    |

  20. The value of x where x gt 0 and tan (sec ^(-1)((1)/(x)))=sin (tan ^(-1...

    Text Solution

    |