Home
Class 12
MATHS
The range of Sin^(-1)5x is...

The range of `Sin^(-1)5x` is

A

`[-pi//3,pi//3]`

B

`[-pi//2,pi//2]`

C

`[-pi//3,pi//4]`

D

none

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 1)|6 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 2)|3 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 4)|5 Videos

  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET-4)|4 Videos

  • LIMITS AND CONTINUITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise Set -4|8 Videos

Similar Questions

Explore conceptually related problems

The range of Sin^(-1)x+Cos^(-1)x is

The range of Sin^(-1)x-Cos^(-1)x is

A : The range of Sin^(-1)2x+Cos^(-1)2x" is "{pi} R : The range of Sin^(-1)x+Cos^(-1)x" is "{pi//2}

The range of cot^(-1)(x) is =

The range of 5Cos^(-1)(3x) is

The range of (1)/(5-sin2x) is

The range of y = sin^(-1)((x^(2))/(1+x^(2))) is

The range of sin^(2) x+ 4 sinx + 5 lies in

DIPTI PUBLICATION ( AP EAMET)-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE 1
  1. If Tan^(-1)(x+1)+Tan^(-1)(x-1)=Tan^(-1)(8//31), then x =

    Text Solution

    |

  2. If Tan^(-1)(1+x)+Tan^(-1)(1-x)=pi//4 then x =

    Text Solution

    |

  3. A solution of the equation Tan^(-1)(1+x)-Tan^(-1)(x-1)=pi//2 is

    Text Solution

    |

  4. (Tan^(-1)x)^(2)+(Cot^(-1)x)^(2)=5pi^(2)//8rArrx=

    Text Solution

    |

  5. The arithmetic mean of the non-zero solutions of the equation "Tan"^...

    Text Solution

    |

  6. The number of real solutions of Tan^(-1)sqrt(x(x+1))+Sin^(-1)sqrt(x^(2...

    Text Solution

    |

  7. An integral solution of the equation Tan^(-1)x+Tan^(-1)(1//y)=Tan^(-1)...

    Text Solution

    |

  8. The solution of "Sin"^(-1)(2a)/(1+a^(2))-"Cos"^(-1)(1-b^(2))/(1+b^(2))...

    Text Solution

    |

  9. If Sin^(-1)(tanpi//4)-Sin^(-1)sqrt(3//x)-pi//6=0, then x is a root of ...

    Text Solution

    |

  10. If theta=Sin^(-1)x+Cos^(-1)x-Tan^(-1)x,0lexle1, then the smallest inte...

    Text Solution

    |

  11. The trigonometric equation Sin^(-1)x=2Sin^(-1)a, has a solution for

    Text Solution

    |

  12. If Cos^(-1)x=Tan^(-1)x, then sin(Cos^(-1)x)=

    Text Solution

    |

  13. The domain of Sin^(-1)x is

    Text Solution

    |

  14. The domain of Cos^(-1)sqrt(2x) is

    Text Solution

    |

  15. The domain of Sin^(-1)[log(2)(x^(2)//2)] is

    Text Solution

    |

  16. The domain of Cos^(-1)(2/(2+sinx))"in "[0,2pi] is

    Text Solution

    |

  17. The range of Sin^(-1)5x is

    Text Solution

    |

  18. The range of Sin^(-1)x+Cos^(-1)x is

    Text Solution

    |

  19. The range of Sin^(-1)x-Cos^(-1)x is

    Text Solution

    |

  20. Two angles of a triangle are Cot^(-1)2andCot^(-1)3. Then the third ang...

    Text Solution

    |