Home
Class 12
MATHS
The domain of trigonometric functions ca...

The domain of trigonometric functions can be restricted to any one of their branch (not necessarily principal value) in order to obtain their inverse functions.

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 4 MARKS|27 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 1 MARK - TYPE-II (FILL IN THE BLANKS QUESTIONS)|44 Videos

  • INDEFINITE INTEGRALS

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 4 MARKS|15 Videos

  • LINEAR PROGRAMMING

    ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 6 MARKS |7 Videos

Similar Questions

Explore conceptually related problems

Find the value of trigonometric function cos((2pi)/3)

Find the value of trigonometric function tan((22pi)/3)

All trigonometric functions have inverse over their respective domains.

Find the value of trigonometric function sin((5pi)/3)

Find the value of trigonometric function cot((-15pi)/4)

Find the values of the trigonometric function:- sin 765^@

Find the values of the trigonometric function:- tan frac (19 pi) (3)

ACCURATE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-QUESTIONS CARRYING 1 MARK - TYPE-III (TRUE OR FALSE QUESTIONS)
  1. tan^(-1)[sin(-pi/2)]=pi/4.

    Text Solution

    |

  2. If sin^(-1)x=y," then "-pi/2 lt y lt pi/2.

    Text Solution

    |

  3. 2tan^(-1)x=sin^(-1)""(2x)/(1+x^(2)), abs(x) le 1.

    Text Solution

    |

  4. sin^(-1)(sin""(3pi)/5)=(2pi)/5.

    Text Solution

    |

  5. cos^(-1)(cos""(13pi)/6)=pi/4.

    Text Solution

    |

  6. All trigonometric functions have inverse over their respective domains...

    Text Solution

    |

  7. The value of the expressions (cos^(-1)x)^(2) is equal to sec^(2)x.

    Text Solution

    |

  8. The domain of trigonometric functions can be restricted to any one of ...

    Text Solution

    |

  9. The least numerical value, either positive or negative of angle theta ...

    Text Solution

    |

  10. The graph of inverse trigonometric function can be obtained from the g...

    Text Solution

    |

  11. The minimum value of n for which tan^(-1)""n/pi lt pi/4, n in N, is va...

    Text Solution

    |

  12. Show that: The principal value of sin^(-1)[cos(sin^(-1)""1/2)]" is "pi...

    Text Solution

    |

  13. Whether the given statement is true or not ..... sin^(-1)x= (sinx)^(-...

    Text Solution

    |

  14. The value of an inverse trigonometric function, which lies in range of...

    Text Solution

    |

  15. The principal value of sec^(-1)(-2)" is "(2pi)/3.

    Text Solution

    |

  16. tan^(-1)[sin(-pi/2)]=pi/4.

    Text Solution

    |

  17. If sin^(-1)x=y," then "-pi/2 lt y lt pi/2.

    Text Solution

    |

  18. 2tan^(-1)x=sin^(-1)""(2x)/(1+x^(2)), abs(x) le 1.

    Text Solution

    |

  19. sin^(-1)(sin""(3pi)/5)=(2pi)/5.

    Text Solution

    |

  20. cos^(-1)(cos""(13pi)/6)=pi/4.

    Text Solution

    |