Home
Class 12
MATHS
The function f(x)=log((1+sinx)/(1-sinx))...

The function `f(x)=log((1+sinx)/(1-sinx))` is

A

even

B

odd

C

neither even nor odd

D

both even and odd

Text Solution

Verified by Experts

The correct Answer is:
B

NA
Promotional Banner

Topper's Solved these Questions

  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise INTEGER_TYPE|21 Videos
  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise MCQ_TYPE|31 Videos
  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise MATCH THE COLUMN|5 Videos
  • NUMBER THEORY

    RESONANCE|Exercise Exercise -2 (PART - II)|4 Videos
  • SEQUENCE & SERIES

    RESONANCE|Exercise EXERCISE -2 (PART-II : PREVIOUSLY ASKED QUESTION OF RMO)|3 Videos

Similar Questions

Explore conceptually related problems

The domain of the function f(x)=sqrt(log((1)/(|sinx|)))

The function f(x)=(1-sinx+cosx)/(1+sinx+cosx) is not defined at x=pi . The value of f(pi) so that f(x) is continuous at x=pi is

The function f(x)=(1-sinx+cosx)/(1+sinx+cosx) is not defined at x=pi . The value of f(pi) , so that f(x) is continuous at x=pi , is

The function f(x)=(1-sinx+cosx)/(1+sinx+cosx) is nto defined at x=pi . The value of f(pi) so that f(x) is continuous at x=pi is:

The function f(x)=((1)/(2))^(sinx) , is

The function f(x)=x+sinx has

The function f(x)=sin^(-1)(sinx) , is

RESONANCE-RELATION, FUNCTION & ITF-SCQ_TYPE
  1. Let f(x) be a function whose domain is [-5,6]. Let g(x)=|2x+5|,then do...

    Text Solution

    |

  2. Let g(x)=1+x-[x]a n df(x)={-1, x<0 0, x=0f, x >0 . Then for all x ,f(g...

    Text Solution

    |

  3. The function f(x)=log((1+sinx)/(1-sinx)) is

    Text Solution

    |

  4. The function f(x)=[x]+1/2,x!inI is a/an (wher [.] denotes greatest int...

    Text Solution

    |

  5. If the graph of the function y = f(x) is symmetrical about the line x ...

    Text Solution

    |

  6. Fundamental period of f(x)=sec(sin x) is

    Text Solution

    |

  7. If f(x)=sin(sqrt([a])x) (where [.] denotes the greatest integer functi...

    Text Solution

    |

  8. Find the area below the curve y=[sqrt(2+2cos2x)] but above the x-axis ...

    Text Solution

    |

  9. The inverse of the function f(x)=(e^(x)-e^(-x))/(e^(x)+e^(-x))

    Text Solution

    |

  10. if f:[1,oo)->[2,oo) is given by f(x)=x+1/x then f^-1(x) equals to : a)...

    Text Solution

    |

  11. If f: Rvec is an invertible function such that f(x)a n df^(-1)(x) are ...

    Text Solution

    |

  12. Let f(x)=(ax + b )/(cx+d). Then the fof (x)=x, provided that : (a!=0,...

    Text Solution

    |

  13. Let f(x)={(x,-1lexle1),(x^(2),1ltxle2):} the range of h^(-1)(x), where...

    Text Solution

    |

  14. Statement -1 All points of intersection of y=f(x) and y=f^(-1)(x) lies...

    Text Solution

    |

  15. The domain of definition of f(x)=sin^(-1)(|x-1|-2) is

    Text Solution

    |

  16. The function f(x)=cot^(-1)sqrt((x+3)x)+cos^(-1)sqrt(x^(2)+3x+1) is def...

    Text Solution

    |

  17. Domain of f(x)=cos^(-1)x+cot^(-1)x+cosec^(-1)x is

    Text Solution

    |

  18. Range of f(x)=sin^(-1)x+tan^(-1)x+sec^(-1)x is (pi/4,(3pi)/4) (b) [pi...

    Text Solution

    |

  19. cosec^(-1)(cos x) is real if

    Text Solution

    |

  20. The domain of definition of the function f(x)=sqrt(sin^(-1)(2x)+pi/6) ...

    Text Solution

    |