Home
Class 12
MATHS
If (tan ^(-1) x)^(2)+(cot ^(-1) x)^(2)=(...

If `(tan ^(-1) x)^(2)+(cot ^(-1) x)^(2)=(5 pi^(2))/(8),` then `x=`

A

-1

B

-3

C

0

D

`(1)/(sqrt(3))`

Text Solution

Verified by Experts

The correct Answer is:
A
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+cot ^(-1) (1)/(2)=(pi)/(2), then x=

If tan ^(-1) ((a)/(x))+tan ^(-1) ((b)/(x))=(pi)/(2), then x=

If tan ^(-1) x+tan ^(-1) y+tan ^(-1) z=(pi)/(2) then x y+y z+z x=

If tan ^(-1) x+tan ^(-1) y+tan ^(-1) z=(pi)/(2), then 1-x y-y z-z x=

If tan^(-1)((x-1)/(x-2)) + tan^(-1)((x+1)/(x+2)) = pi/4 , then find the value x.

If "tan"^(-1)(x-1)/(x-2)+"tan"^(-1)(x+1)/(x+2)=(pi)/4 , find x

3 sin ^(-1)((2 x)/(1+x^(2)))-4 cos ^(-1)((1-x^(2))/(1+x^(2))) +2 tan ^(-1)((2 x)/(1-x^(2)))=(pi)/(3) ( then ) x=

HIMALAYA PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. If a le tan ^(-1) x+cot ^(-1) x+sin ^(-1) x le b then

    Text Solution

    |

  2. If x(1)=2 tan ^(-1)((1+x)/(1-x)), x(2) m sin ^(-1)((1-x^(2))/(1+x^(2))...

    Text Solution

    |

  3. If (tan ^(-1) x)^(2)+(cot ^(-1) x)^(2)=(5 pi^(2))/(8), then x=

    Text Solution

    |

  4. The value of sin ^(-1)[cos (cos ^(-1)(cos x)+sin ^(-1)(sin x))] where...

    Text Solution

    |

  5. If -1ltxlt0, then sin ^(-1) x=

    Text Solution

    |

  6. sin ^(-1)[cot ((sin ^(-1) sqrt((2-sqrt(3))/(4)))+cos ^(-1) (sqrt(12))/...

    Text Solution

    |

  7. If x ge 1 then 2 tan ^(-1) x+sin ^(-1)((2 x)/(1+x^(2)))=

    Text Solution

    |

  8. The value of cos ^(-1) sqrt((2)/(3))-cos ^(-1) (sqrt(6)+1)/(2 sqrt(3))...

    Text Solution

    |

  9. The value of tan ^(-1) sqrt((a lambda)/(b c))+tan ^(-1) sqrt((b lambda...

    Text Solution

    |

  10. tan^(-1)((x)/(y))-tan^(-1)((x-y)/(x+y)) is

    Text Solution

    |

  11. sin ^(-1)(1-x)-2 sin ^(-1) x=(pi)/(2), then x is equal to

    Text Solution

    |

  12. Solve the following equations : sin(tan^(-1)x),|x|lt1 equal to

    Text Solution

    |

  13. The principal value branch of sec ^(-1) x is

    Text Solution

    |

  14. Which of the following corresponds to the principal value branch of ta...

    Text Solution

    |

  15. Write the principal value branch of cos^(-1)x

    Text Solution

    |

  16. Which of the following is the principal value branch of cosec^(-1) x ?

    Text Solution

    |

  17. Write the principal value branch of cos^(-1)x

    Text Solution

    |

  18. The value of sin^(-1)(cos ((43pi)/5)) is :

    Text Solution

    |

  19. The principal value of the expression cos^(-1)[cos (-680^@)] is :

    Text Solution

    |

  20. The value of cot (sin ^(-1) x) is

    Text Solution

    |