Home
Class 11
MATHS
If x+1/x=2, the principle value ot sin^-...

If x+1/x=2, the principle value ot `sin^-1x` is

A

`pi/4`

B

`pi/2`

C

`pi`

D

`(3pi)/2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|21 Videos

  • TRIGONOMETRIC FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|68 Videos

Similar Questions

Explore conceptually related problems

Cos^(-1) ( 4x ^(3) - 3x ) =a + b cos ^(-1)x is a equation of trigonomatric inverse circular function . IF x in [-(1)/(2) ,(1)/(2)], then the prinicipal value of sin ^(-1) ""(sin ""(a)/(b)) is

If x in [-1,0], then find the value of cos^(-1)(2x^2-1)-2sin^(-1)x

If x gt 0 , then the value of sin{tan^-1((1-x^2)/(2x))+cos^-1((1-x^2)/(1+x^2))} is equal to

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

If sin^(-1)x=pi/5 , for some x in (-1,1), then find the value of cos^(-1)x

Find the possible values of sin^(-1) (1 - x) + cos^(-1) sqrt(x -2)

If 2 sin ((pi)/(2)) = x^2 + (1)/(x^2) = , then the value of (x - (1)/(x)) is___

If "sin"^(-1)(5)/(x)+"sin"^(-1)(12)/(x)=(pi)/(2) , then the value of x is -

If sin^-1sqrt((x^2+2x+1))+sec^-1sqrt((x^2+2x+1))=pi/2 , x ne 0 , then the value of 2sec^-1(x/2)+sin^-1(x/2) is equal to

If sin x=cos ^2x then the value of cos^2x(1+cos^2x) will be

PATHFINDER-TRIGONOMETRIC EQUATION AND INVERSE-QUESTION BANK
  1. The value of cos^-1(cos5) is

    Text Solution

    |

  2. If x1, x2, x3, x4 are roots of the equation x^4-x^3sin2beta+x^2cos2bet...

    Text Solution

    |

  3. If x+1/x=2, the principle value ot sin^-1x is

    Text Solution

    |

  4. If cos^-1x+cos^-1y+cos^-1z=3pi, then xy+yz+zx is equal to

    Text Solution

    |

  5. If 1-tanx/1+tanx=tany and x-y=pi/6, then x, y are respectively

    Text Solution

    |

  6. If cos^4x+4sin^4x=1, then general value of x equals to

    Text Solution

    |

  7. The equation sinx=[1+sinx]+[1-cosx] has [where [.] is greatest integer...

    Text Solution

    |

  8. The equation 8x^3-6x+sqrt3=0 is satisfied by

    Text Solution

    |

  9. Number of values of theta which satisfy sin^2theta-2sin^2theta-1=0 is

    Text Solution

    |

  10. Which of the following is true?

    Text Solution

    |

  11. theta=tan^-1(2tan^2theta)-tan^-1{(1/3)tantheta}, if

    Text Solution

    |

  12. sec(cosec^-1x) is equal to

    Text Solution

    |

  13. The solution of the equation sin[2cos^-1{cot(2tan^-1x)}] = 0 are

    Text Solution

    |

  14. Let f(x)=e^(cos^-1sin(x+pi/3)), then

    Text Solution

    |

  15. The greatest and least values of (sin^-1x)^3+(cos^-1x)^3 are

    Text Solution

    |

  16. alpha is a root of the equation (2sinx-cosx)(1+cosx)=sin^2x beta is a...

    Text Solution

    |

  17. alpha is a root of the equation (2sinx-cosx)(1+cosx)=sin^2x beta is a...

    Text Solution

    |

  18. f(x)=sin{cot^-1(x+1)}-cos(tan^-1x) a=costan^-1sincot^-1x b=cos(2cos^-1...

    Text Solution

    |

  19. f(x)=sin{cot^-1(x+1)}-cos(tan^-1x) a=costan^-1sincot^-1x b=cos(2cos^-1...

    Text Solution

    |

  20. sum(r=1)^ntan^-1((xr-x(r-1))/(1+x(r-1)xr))=sum(r=1)^n(tan^-1xr-tan^-1x...

    Text Solution

    |