Home
Class 12
MATHS
Find the value of sin^(-1)x+sin^(-1)1/x+...

Find the value of `sin^(-1)x+sin^(-1)1/x+cos^(-1)x+cos^(-1)1/xdot`

A

`pi`

B

`(pi)/(2)`

C

`(3pi)/(2)`

D

`(2pi)/(3)`

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

Find the value of : sin (sin^(-1) x + cos^(-1) x)

find the value of cos(sin^(-1)x)

Find the value of sin^(-1)(cos(sin^(-1)x))+cos^(-1)(sin(cos^(-1)x))

Find the value of x if sin^(-1)(1/8)=cos^(-1)x

For which values of x, function f(x) = sin^(-1) x + sin^(-1).(1)/(x) + cos^(-1) x + cos^(-1).(1)/(x) is defined? Also, find the range

The value of tan(sin^(-1)(cos(sin^(-1)x)))tan(cos^(-1)(sin(cos^(-1)x))), where x in(0,1) is equal to 0(b)1(c)-1(d) none of these

Draw the graph of f(x) sin^(-1)|sin x|+cos^(-1) (cos x) . Find the range of the function. Find the points of non-differentiability. Also find the value of int_(0)^(10pi)[sin^(-1)|sin x|+cos^(-1)(cos x)] dx

Find the value of x for which sin^(-1) (cos^(-1) x) lt 1 and cos^(-1) (cos^(-1) x) lt 1

If sin^(-1)x in (0, (pi)/(2)) , then the value of tan((cos^(-1)(sin(cos^(-1)x))+sin^(-1)(cos(sin^(-1)x)))/(2)) is :

TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS -Critical Thinking
  1. If cos^(-1).((1)/(x))=theta, then tantheta=

    Text Solution

    |

  2. If: sin(sin^(-1)1/5 + cos^(-1)x)=1, then: x=

    Text Solution

    |

  3. Find the value of sin^(-1)x+sin^(-1)1/x+cos^(-1)x+cos^(-1)1/xdot

    Text Solution

    |

  4. If sin^(-1)x=pi/5,forsom ex in (-1,1), then find the value of cos^(-1)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |