Home
Class 12
MATHS
If (tan^-1x)^2 + (cot^-1x)^2 =(5 pi^2)/8...

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

A

`-1`

B

1

C

0

D

4

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Competitive Thinking|218 Videos

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Evaluation Test|34 Videos

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Evaluation Test|34 Videos

  • THREE DIMENSIONAL GEOMETRY

    TARGET PUBLICATION|Exercise Evaluation Test|9 Videos

  • VECTORS

    TARGET PUBLICATION|Exercise Evaluation Test|18 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS -Critical Thinking
  1. If sin^(-1)x=pi/5,forsom ex in (-1,1), then find the value of cos^(-1)...

    Text Solution

    |

  2. If x>=0and theta=sin^-1x+cos^-1x-tan^-1x, then

    Text Solution

    |

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

    Text Solution

    |

  4. cos(tan^(-1)((1)/(3))+tan^(-1)((1)/(2)))=

    Text Solution

    |

  5. cos^-1(4/5)+tan^-1(3/5)=tan^-1(27/11)

    Text Solution

    |

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

    Text Solution

    |

  7. cot^-1[(cot)^(1/2)]+tan^-1[(cotalpha)^(1/2)=x then sin x= (A) 1 (B) co...

    Text Solution

    |

  8. If tan^(-1).(a+x)/(a) + tan ^(-1) ((a-x)/(a)) = (pi)/(6) then prove th...

    Text Solution

    |

  9. Q. the value of tan^-1(a/(b+c))+tan^-1(b/(c+a)), if /=90^@ in triangle...

    Text Solution

    |

  10. सिद्ध कीजिए - tan^(-1).(3)/(4)+tan^(-1).(3)/(5)-tan^(-1).(8)/(19)=(p...

    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 cj >0 for i=1,2, , n , prove that tan^(-1)((c1x-y)/(c1y+x))+tan^(-...

    Text Solution

    |

  13. If a1, a2,a3, ,an is an A.P. with common difference d , then prove th...

    Text Solution

    |

  14. tan[2tan^(- 1)(1/5)+pi/4]

    Text Solution

    |

  15. sin[3sin^(-1)((1)/(5))] is equal to

    Text Solution

    |

  16. The value of cot[cos^(-1)(7/25)] is

    Text Solution

    |

  17. If cos(2sin^(-1)x)=1/9, then find the values of xdot

    Text Solution

    |

  18. Find the value of expression: sin(2tan^(-1)1/3)+cos(tan^(-1)2sqrt(2))

    Text Solution

    |

  19. If: tan^(-1)x = sin^(-1)(3/sqrt(10)), then: x=

    Text Solution

    |

  20. If we consider only the principal values then the value inverse trigon...

    Text Solution

    |