Home
Class 12
MATHS
If cos^(-1)sqrt(p)+cos^(-1)sqrt(1-p)+cos...

If `cos^(-1)sqrt(p)+cos^(-1)sqrt(1-p)+cos^(-1)sqrt(1-q)=(3pi)/(4)` then the value of q is

A

1

B

`(1)/(sqrt(2))`

C

`(1)/(3)`

D

`(1)/(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 cos 2 theta =(sqrt(2)+1)( cos theta -(1)/(sqrt(2))) , then the value of theta is

Let u = cot^(-1) sqrt(cos 2 theta) - tan^(-1) sqrt( cos 2 theta) , then the value of sin u is

cos^(-1).(2)/(sqrt(5)) + tan^(-1).(1)/(3) =

If cos^(-1) lamda + cos^(-1) mu + cos^(-1) gamma = 3pi , then find the value of lamda mu + mu gamma + gamma lamda

tan(cos^(-1)(1)/(5sqrt(2))-sin^(-1)(4)/sqrt(17)) is

cos^(-1) (cos (2 cot^(-1) (sqrt2 -1))) is equal to

tan(cos^(-1)(1/(5sqrt2))-sin^(-1) (4/sqrt17)) is

The equation sin ^(-1) x-cos ^(-1) x=cos ^(-1) (sqrt((3))/(2)) has

If cos^(-1)p+cos^(-1)q+cos^(-1)r=pi then p^(2)+q^(2)+r^(2)+2pqr =

HIMALAYA PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. The solution of tan^(-1)x + 2 cot^(-1)x = (2pi)/(3) is

    Text Solution

    |

  2. If "tan"^(-1)(x+1)/(x-1)+"tan"^(-1)(x-1)/(x)=tan^(-1)(-7) then the val...

    Text Solution

    |

  3. If cos^(-1)sqrt(p)+cos^(-1)sqrt(1-p)+cos^(-1)sqrt(1-q)=(3pi)/(4) then ...

    Text Solution

    |

  4. sin((1)/(2)"cos"^(-1)(4)/(5))=

    Text Solution

    |

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

    Text Solution

    |

  6. If sin^(-1)(x)/(5)+cosec^(-1)(5)/(4)=(pi)/(2)then x=

    Text Solution

    |

  7. If cos^(-1)p+cos^(-1)q+cos^(-1)r=pi then p^(2)+q^(2)+r^(2)+2pqr=

    Text Solution

    |

  8. he solution of sin^(-1)' x-sin^(-1)' 2x=+-(pi)/(3)is…...

    Text Solution

    |

  9. If tan^(-1) x + tan^(-1) y =(pi)/(4) then...

    Text Solution

    |

  10. If cos^(-1)x=alpha, (0 lt x lt 1) and sin^(-1)(2x sqrt(1-x^(2)))+sec^...

    Text Solution

    |

  11. If a gt b gt 0, then the value of tan^(-1)((a)/(b))+tan^(-1)((a+b)/(a-...

    Text Solution

    |

  12. The solution of tan^(-1)x + 2 cot^(-1)x = (2pi)/(3) is

    Text Solution

    |

  13. The sum of tan ^(-1) (1)/(2)+tan ^(-1) (1)/(8)+tan ^(-1) (1)/(18)+.. i...

    Text Solution

    |

  14. If x, y, z are all non zero and x^(2)+y^(2)+z^(2)=r^(2) then tan ^(-1)...

    Text Solution

    |

  15. "tan"1/2["sin"^(-1)(2x)/(1+x^(2))+"cos"^(-1)(1-y^(2))/(1+y^(2))]

    Text Solution

    |

  16. cot^(-1)(sqrt(cosalpha))-tan^(-1)(sqrt(cosalpha))=x, then sin x =

    Text Solution

    |

  17. The trigonometric equation sin^(-1) x=2 sin^(-1) a has a solution for ...

    Text Solution

    |

  18. Ifcos^(-1) x - cos ^(-1) (y)/(2) =alpha then 4x^(2) -4xy cos alpha+ ...

    Text Solution

    |

  19. If sin^(-1)(x)/(5)+cosec^(-1)(5)/(4)=(pi)/(2)then x=

    Text Solution

    |

  20. If x=sin^(-1) k, y=cos^(-1) k, -1 le k le 1, then the correct relation...

    Text Solution

    |