Home
Class 12
MATHS
The principal value of "sin"^(-1)("sin""...

The principal value of `"sin"^(-1)("sin""(5pi)/(3))` is

A

`(-5pi)/3`

B

`(5pi)/3`

C

`(-pi)/3`

D

`pi/3`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INVERSE CIRCULAR FUNCTIONS

    ML KHANNA|Exercise Problem Set (4)(FILL IN THE BLANKS)|1 Videos
  • INTEGRATION

    ML KHANNA|Exercise SELF ASSESSMENT TESET|10 Videos
  • LIMITS, CONTINUITY AND DIFFERENTIABILITY

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (ASSERTION/ REASONS) |3 Videos

Similar Questions

Explore conceptually related problems

The principal value of sin^(-1) (sin""(3 pi)/(5)) is :

The principal value of sin^(-1)(sin((2 pi)/(3))) is (a)-(2 pi)/(3) (b) (2 pi)/(3) (c) (4 pi)/(3) (d) (5 pi)/(3) (e) none of these

The principal value of sin^(-1)(1/2) is

sin^(-1)(sin(5 pi)/(3))

(a) Find the principal value of sin^(-1)(sin((7 pi)/(4)))

sin^(-1)(sin(5 pi/3))

Principal value of sin^(-1)[sin((5pi)/(6))] is

The principal values of cos^(-1)(-sin(7pi)/(6)) is

The principal value of sin^(-1){tan((-5 pi)/(4))} is

ML KHANNA-INVERSE CIRCULAR FUNCTIONS -Self Assessment Test
  1. If sin(sin^(-1)1/5+cos^(-1)x) =1 then x is equal to

    Text Solution

    |

  2. The value of cos^(-1)(-1)-sin^(-1)(1) is- pi b. pi/2 c. (3pi)/2 d. -(3...

    Text Solution

    |

  3. If sin^(-1) sqrt(x^2+2x+1sec^(-1)) sqrt(x^2+2x+1) = pi/2, x ne 0 then ...

    Text Solution

    |

  4. tan^(-1) ""1/3+tan^(-1)""2/9+tan^(-1)"" 4/33 +….oo is equal to

    Text Solution

    |

  5. Find the set of values of parameter a so that the equation (sin^(-1)x)...

    Text Solution

    |

  6. If sin(sin^(-1)1/5+cos^(-1)x) =1 then x is equal to

    Text Solution

    |

  7. The value of cot[cos^(-1)(7/25)] is

    Text Solution

    |

  8. If x takes negative permissible vlaue then sin^(-1)x=

    Text Solution

    |

  9. cot^(-1)9 + cos^(-1)sqrt(41)/4=

    Text Solution

    |

  10. The principal value of "sin"^(-1)("sin""(5pi)/(3)) is

    Text Solution

    |

  11. The solution set of the equation sin^(-1)x=2 tan^(-1)x is

    Text Solution

    |

  12. If sin^(-1)x+sin^(-1)y+sin^(-1)z=(pi)/(2), then the value of x^(2)+y^(...

    Text Solution

    |

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

    Text Solution

    |

  14. sin^(-1)" 1/sqrt5 +cot^(-1)3 is equal to

    Text Solution

    |

  15. If sin^(-1)((2a)/(1+a^2))+sin^(-1)((2b)/(1+b^2))=2tan^(-1)x , then x i...

    Text Solution

    |

  16. If sin^(-1) x + sin^(-1) y = (2pi)/3", then " cos^(-1) x + cos^(-1) y

    Text Solution

    |

  17. tan^(-1)"" 1/2+tan^(-1)"" 1/3=

    Text Solution

    |

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

    Text Solution

    |

  19. If 0 lt x le 1, " then " sqrt(1+x^2) [{x cos (cot^(-1)x)+sin(cot^(-1)...

    Text Solution

    |

  20. The number of real solutions of tan^(-1)sqrt(x(x+1))+sin^(-1)sqrt(x^2+...

    Text Solution

    |