Home
Class 12
MATHS
sin^(-1)(1/2)-2sin^(-1)(1/(sqrt(2)))...

`sin^(-1)(1/2)-2sin^(-1)(1/(sqrt(2)))`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRALS

    RD SHARMA ENGLISH|Exercise All Questions|1443 Videos
  • LINEAR PROGRAMING

    RD SHARMA ENGLISH|Exercise All Questions|4 Videos

Similar Questions

Explore conceptually related problems

Find the principal values of (a) sin^(-1)(1/2) (b) sin^(-1)(-1/(sqrt(2)))

Prove that 2tan^(-1)(1/2)+tan^(-1)(1/7)=sin^(-1)((31)/(25sqrt(2)))

The sum of the infinte series sin^(-1)(1/sqrt(2))+sin^(-1)((sqrt(2)-1)/(sqrt(6)))+....sin^(-1)((sqrt(n)-sqrt(n-1))/(sqrt(n(n+1))))

The sum of the infinte series sin^(-1)(1/sqrt(2))+sin^(-1)((sqrt(2)-1)/(sqrt(6)))+....sin^(-1)((sqrt(n)-sqrt(n-1))/(sqrt(n(n+1))))

For the principal values, evaluate each of the following : (i) sin^(-1)(-1/2)+2cos^(-1)(-(sqrt(3))/2) (ii) sin^(-1)(-(sqrt(3))/2)+cos^(-1)((sqrt(3))/2)

sin^(-1){cos(sin^(-1)(sqrt(3)/2))}

If x_1=cos^(-1)(3/5)+cos^(-1)((2sqrt2)/3)and x_2=sin^(-1)(3/5)+sin^(-1)((2sqrt2)/3) , then

Solve : sin^(-1)( x) + sin^(-1)( 2x) = sin^(-1)(sqrt(3)/2) .

Find the principal value of sin^(-1)(-1/sqrt2)+tan^(-1)(-1/sqrt3)+sec^(-1)(2)

Prove that : 2 "tan"^(-1)1/(2)+"tan"^(-1)1/(7)="sin"^(-1)31/(25sqrt(2)) .

RD SHARMA ENGLISH-INVERSE TRIGONOMETRIC FUNCTION-All Questions
  1. Find the principal value of each of the following: (i) sin^(-1)(-(sq...

    Text Solution

    |

  2. Find the principal value of each of the following: sin^(-1)((sqrt(3)...

    Text Solution

    |

  3. sin^(-1)(1/2)-2sin^(-1)(1/(sqrt(2)))

    Text Solution

    |

  4. sin^(-1){cos(sin^(-1)(sqrt(3)/2))}

    Text Solution

    |

  5. Find the domain of each of the following functions: f(x)=sin^(-1)x^...

    Text Solution

    |

  6. Find the domain of each of the following functions: f(x)=sin^(-1)sqr...

    Text Solution

    |

  7. If sin^(-1)x+sin^(-1)y+sin^(-1)z+sin^(-1)t=2pi , then find the value ...

    Text Solution

    |

  8. If (sin^(-1)x)^2+(sin^(-1)y)^2+(sin^(-1)z)^2=3/4pi^2 , find the value ...

    Text Solution

    |

  9. Find the domain of cos^(-1)(2x-1)

    Text Solution

    |

  10. Find the principal values of cos^(-1)((sqrt(3))/2) and cos^(-1)(-1...

    Text Solution

    |

  11. Find the principal value of cos^(-1){sin"[cos^(-1)(1/2)]}

    Text Solution

    |

  12. If x ,\ y ,\ z in [-1,1] such that cos^(-1)x+cos^(-1)y+cos^(-1)z=0 , f...

    Text Solution

    |

  13. If x , y ,z in [-1,1] such that cos^(-1)x+cos^1y+cos^(-1)z=3pi, then f...

    Text Solution

    |

  14. If x , y ,z in [-1,1] such that cos^(-1)x+cos^1y+cos^(-1)z=3pi, then...

    Text Solution

    |

  15. Find the domain of definition of f(x)=cos^(-1)(x^2-4) .

    Text Solution

    |

  16. Find the domain of f(x)=2cos^(-1)2x+sin^(-1)x .

    Text Solution

    |

  17. Find the domain of f(x)=cos^(-1)x+cosx .

    Text Solution

    |

  18. Find the principal value of each of the following: (i) cos^(-1)(-(sq...

    Text Solution

    |

  19. Find the principal value of each of the following: (i) cos^(-1)(sin(...

    Text Solution

    |

  20. For the principal values, evaluate each of the following : (i)cos^(-...

    Text Solution

    |