Home
Class 12
MATHS
cos [2"cos"^(-1) (1)/(5) + "sin"^(-1) (1...

`cos [2"cos"^(-1) (1)/(5) + "sin"^(-1) (1)/(5)]=`

A

`(sqrt(6))/(5) `

B

`-((2 sqrt(6))/(5))`

C

`(2)/(5) `

D

`2 sqrt(6)`

Text Solution

Verified by Experts

The correct Answer is:
B
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

cos ^(-1) (1)/(2)+2 sin ^(-1) (1)/(2)=

cos [cos ^(-1)(-(1)/(7))+sin ^(-1)(-(1)/(7))]=

sin ^(-1) (3)/(5)+cos ^(-1) (12)/(13)=

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

cos (2 sin ^(-1) (1)/(2))=

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

HIMALAYA PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. cot^(-1)(2.1^(2))+cot^(1)(2.2^(2))+cot^(-1)(2.3)^(2)+………… up to oo =

    Text Solution

    |

  2. If cos ^(-1) (x)/(2)+cos ^(-1) (y)/(3)=theta, then 9 x^(2)-12 x y cos ...

    Text Solution

    |

  3. cos [2"cos"^(-1) (1)/(5) + "sin"^(-1) (1)/(5)]=

    Text Solution

    |

  4. If f(x)=sin ^(-1)[(sqrt(3))/(2) x-(1)/(2) sqrt(1-x^(2))],-(1)/(2) le x...

    Text Solution

    |

  5. If sum(i=1)^(2 n) cos ^(-1) x(i)=0, then sum(i=1)^(2 pi) x(i)=

    Text Solution

    |

  6. The principal value of cos^(-1) {1/sqrt2 ("cos"(9pi)/10 - "sin"(9pi)/1...

    Text Solution

    |

  7. Principal valu of cos ^(-1)(-sin (7 pi)/(6)) is

    Text Solution

    |

  8. If sin(sin^(-1)((1)/(5))+cos^(-1)x)=1 then find the value of x.

    Text Solution

    |

  9. cot ^(-1) 3+sec ^(-1) (sqrt(5))/(2)=

    Text Solution

    |

  10. tan ^(-1) x gt cot ^(-1) x, holds for

    Text Solution

    |

  11. If a le tan ^(-1) x+cot ^(-1) x+sin ^(-1) x le b then

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |