Home
Class 12
MATHS
cos(sin^-1 (3/5)+ cot^-1(3/2)) = 6/(5sqr...

`cos(sin^-1 (3/5)+ cot^-1(3/2)) = 6/(5sqrt13)`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    OSWAAL PUBLICATION|Exercise SHORT ANSWER TYPE QUESTIONS - I|13 Videos

  • INTEGRALS

    OSWAAL PUBLICATION|Exercise DEFINITE INTEGRALS (LONG TYPE ANSWER TYPE QUESTIONS - III)|40 Videos

  • LINEAR PROGRAMMING

    OSWAAL PUBLICATION|Exercise Long Answer Type Questions-lI|26 Videos

Similar Questions

Explore conceptually related problems

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

sin ^(-1) (1)/(sqrt(5))+cot ^(-1) 3=

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

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

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

sin(2 cos^(-1). 3/5)=

OSWAAL PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-SHORT ANSWER TYPE QUESTIONS - II
  1. tan^(-1)((3)/(4))+tan^(-1)((3)/(5))-tan^(-1)((8)/(19))=

    Text Solution

    |

  2. Prove that t a n^(-1)((cosx)/(1+sinx))=pi/4-x/2,\ x in (-pi/2,pi/2)

    Text Solution

    |

  3. cos(sin^-1 (3/5)+ cot^-1(3/2)) = 6/(5sqrt13)

    Text Solution

    |

  4. cos^(-1)((4)/(5))+cos^(-1)((12)/(13))=

    Text Solution

    |

  5. Solve for x : 2tan^(-1)(sinx)=tan^(-1)(2secx),\ x!=pi/2

    Text Solution

    |

  6. Prove that: "sin"[cot^(-1){"cos"(tan^(-1)x)}]=sqrt((x^21)/(x^2+2)) ...

    Text Solution

    |

  7. Prove that : 2tan^(-1)((3)/(4))-tan^(-1)((17)/(31))=(pi)/(4).

    Text Solution

    |

  8. Solve for x : tan^(-1)((2x)/(1-x^2))+cot^(-1)((1-x^2)/(2x))=pi/3,-1ltx...

    Text Solution

    |

  9. tan^(- 1)(1/4)+tan^(- 1)(2/9)=1/2tan^(- 1)(4/3)

    Text Solution

    |

  10. solve: cos(2sin^-1x)=1/9

    Text Solution

    |

  11. Find the value of tan^(-1)(x/y)-tan^(-1)((x-y)/(x+y))

    Text Solution

    |

  12. (9pi)/(8)-(9)/(4)sin^(-1)""(1)/(3)=(9)/(4)sin^(-1)""(2sqrt(2))/(3) (...

    Text Solution

    |

  13. Solve sin^(-1)(1-x)-2s in^(-1)x=pi/2

    Text Solution

    |

  14. prove that tan^-1(1)+tan^-1(2) +tan^-1(3) = pi

    Text Solution

    |

  15. Solve for x : tan^(-1)(x+2)+tan^(-1)(x-2)=tan^(-1)(8/(79)) , x >0

    Text Solution

    |

  16. Solve for x:tan^(-1)((x)/(2))+tan^(-1)((x)/(3))=(pi)/(4), sqrt6gtx gt0...

    Text Solution

    |

  17. prove that 2tan^-1 1/3+tan^-1 1/7=pi/4

    Text Solution

    |

  18. cos^(-1)x+sin^(-1)(x/2)= pi/6

    Text Solution

    |

  19. Prove the following: tan^(-1)sqrt(x)=1/2cos^(-1)((1-x)/(1+x)),\ x\ \ ...

    Text Solution

    |

  20. Prove the following: tan^(-1)x+tan^(-1)((2x)/(1-x^2))=tan^(-1)((3x-x^3...

    Text Solution

    |