Home
Class 12
MATHS
Select the correct option from the given...

Select the correct option from the given alternatives: The principal value of `sin^-1(frac{-sqrt3}{2})` is A) `-frac{2pi}{3}` B) `frac{4pi}{3}` C) `frac{5pi}{3}` D) `-frac{pi}{3}`

A

`-frac{2pi}{3}`

B

`frac{4pi}{3}`

C

`frac{5pi}{3}`

D

`-frac{pi}{3}`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Trignometric Functions

    CHETANA PUBLICATION|Exercise EXERCISE|113 Videos
  • PROBABILITY DISTRIBUTIONS

    CHETANA PUBLICATION|Exercise EXERCISE|108 Videos

Similar Questions

Explore conceptually related problems

Select the correct option from the given alternatives:The number of principal solution of cos3x = frac{1}{2}

Select the correct option from the given alternatives: The principal value branch of sec^-1x is A) [-frac{pi}{2},frac{pi}{2}]-{0} B) [0,pi]-[frac{pi}{2}] C) (0,pi) D) (-frac{pi}{2},frac{pi}{2})

Select the correct option from the given alternatives: tan(2tan^-1(frac{1}{5})-frac{pi}{4})

Select the correct option from the given alternatives. (frac(22pi)(15))^c is equal to

Select the correct option from the given alternatives: The principal solution of equation cottheta = sqrt3 is a) frac{pi}{6},frac{7pi}{6} b) frac{pi}{6},frac{5pi}{6} c) frac{pi}{6},frac{8pi}{6} d) frac{7pi}{6},frac{pi}{6}

Select the correct option from the given alternatives: The principal solutions of equation sintheta =frac{-1}{2} are….... a) frac{5pi}{6},frac{pi}{6} b) frac{7pi}{6},frac{11pi]{6} c) frac{pi}{6},frac{7pi}{6} d) frac{7pi}{6}, frac{pi}{6}

Select the correct option from the given alternatives: The principal solution of equation cot2theta = 0 are A) [frac{pi}{4},frac{3pi}{4},frac{5pi}{4},frac{7pi}{4}] B) [frac{pi}{4},pi] C) [frac{pi}{2},pi,frac{3pi}{2},2pi] D) [frac{pi}{4},frac{3pi}{4}]

Select the correct option from the given alternatives: cos^-1(cos(frac{7pi}{6})) = ..... A) frac{7pi}{6} B) frac{5pi}{6} C) frac{pi}{6} D) frac{3pi}{2}

Select the correct option from the given alternatives: cos[tan^-1(frac{1}{3})+tan^-1(frac{1}{2})] = A) frac{1}{sqrt2} B) frac{sqrt3}{2} C) frac{1}{2} D) frac{pi}{4}

Select the correct option from the given alternatives: In /_\ABC , if c^2+a^2-b^2 = ac then /_B = A) frac{pi}{4} B) frac{pi}{3} C) frac{pi}{2} D) frac{pi}{6}

CHETANA PUBLICATION-Trignometric Functions-EXERCISE
  1. Select the correct option from the given alternatives: If in a /\ABC, ...

    Text Solution

    |

  2. Select the correct option from the given alternatives: The value of co...

    Text Solution

    |

  3. Select the correct option from the given alternatives: The principal v...

    Text Solution

    |

  4. If sin^-1(frac{4}{5})+cos^-1(frac{12}{13}) = sin^-1alpha , then alpha...

    Text Solution

    |

  5. Select the correct option from the given alternatives: If tan^-1(2x)+t...

    Text Solution

    |

  6. Select the correct option from the given alternatives: 2tan^-1(frac{1}...

    Text Solution

    |

  7. Select the correct option from the given alternatives: tan(2tan^-1(fra...

    Text Solution

    |

  8. Select the correct option from the given alternatives: The principal v...

    Text Solution

    |

  9. Select the correct option from the given alternatives: cos[tan^-1(frac...

    Text Solution

    |

  10. If tan theta+tan 2theta+tan 3theta = tantheta tan 2theta tan 3theta th...

    Text Solution

    |

  11. Select the correct option from the given alternatives: If any /\ABC, i...

    Text Solution

    |

  12. Select the correct option from the given alternatives: A trigonometric...

    Text Solution

    |

  13. Select the correct option from the given alternatives The period of co...

    Text Solution

    |

  14. Select the correct option from the given alternatives The period of ta...

    Text Solution

    |

  15. Select the correct option from the given alternatives:The number of pr...

    Text Solution

    |

  16. Select the correct option from the given alternatives:The number of pr...

    Text Solution

    |

  17. Select the correct option from the given alternatives: The principal s...

    Text Solution

    |

  18. Select the correct option from the given alternatives: The ratio of th...

    Text Solution

    |

  19. Select the correct option from the given alternatives: cos^-1(-x) =......

    Text Solution

    |

  20. If x gt 0, y gt 0, xy = 1 then tan^-1x+tan^-1y = .... A ) 0 B ) pi C...

    Text Solution

    |