Home
Class 12
MATHS
If f(x)=(cosx+ sinx)/(tanx+cotx) then fu...

If `f(x)=(cosx+ sinx)/(tanx+cotx)` then function `f(x)` is

A

even

B

odd

C

both even and odd

D

neither odd nor even

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B(DOMAINS, RANGES OF REAL FUNCTIONS)|138 Videos
  • FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS)|7 Videos
  • FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS)|7 Videos
  • EXPONENTIAL SERIES & LOGARITHMIC SERIES (APPENDIX-1)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|5 Videos
  • Hyperbola

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET 4|4 Videos

Similar Questions

Explore conceptually related problems

The domain of the function f(x)=log_(x) cosx is

d/(dx)[(tanx-cotx)/(tanx+cotx)]=

If f(x)=|(cosx, x,1),(2sinx,x^(2),2x),(tanx,x,1)| then Lt_(xto0)(f'(x))/x=

Integrate the functions e^(x)(sinx+cosx)

Lt_(x to 0)(1+tanx)^(cotx)=

If f(x)=log(cosx), then domain f=

DIPTI PUBLICATION ( AP EAMET)-FUNCTIONS-EXERCISE 1A(FUNCTIONS)
  1. Determine whether the function f(x) = log(x+sqrt(x^(2)+1)) is even or ...

    Text Solution

    |

  2. (log(x+sqrt(x^(2)+1)))/(x) is

    Text Solution

    |

  3. If f(x)=(cosx+ sinx)/(tanx+cotx) then function f(x) is

    Text Solution

    |

  4. Let f(x)=(x)/(e^(x)-1)+(x)/(2)+1, then f is

    Text Solution

    |

  5. If f from R is defined by f(x)=x^(2), then f^(-1){16}=

    Text Solution

    |

  6. If f from R into R defined by f(x)=x^(3)-1, then f^(-1){-2, 0, 7}=

    Text Solution

    |

  7. f:R rarrR defined by f(x)=x^(3)+x^(2)-x-1. Then the inverse image set ...

    Text Solution

    |

  8. Let f be an injective function with domain {x, y, z} and range {1, 2, ...

    Text Solution

    |

  9. If f={(a, 0), (b, 2), (c, -3)}, g={(a, -1), (b, 1), (c, 2)} then 2f-3g...

    Text Solution

    |

  10. If f={(a, 1), (b, -2), (c, 3)}, g={(a, -2), (b, 0), (c, 1)} then f^(2)...

    Text Solution

    |

  11. If f={(a, 0), (b, -2), (c, 3)}, g={a, -2), (b, 0), (c,1)} then f//g=

    Text Solution

    |

  12. If f={(-2, 4), (0, 6), (2, 8)} and g={(-2, -1), (0, 3), (2, 5)}, then ...

    Text Solution

    |

  13. If f:{(1, 2), (2,3), (3, 1)}, then fof=

    Text Solution

    |

  14. If f={(1,a), (2, b), (1, b), (3,c), (1,c)}, g=(a, p), (b,r), (c,q), (c...

    Text Solution

    |

  15. If f(x)=2x-1, g(x)=x^(2), then (3f-2g)(x)=

    Text Solution

    |

  16. If f(x)=x^(2), g(x)=x^(2)-5x+6 then (g(2)+g(2)+g(0))/(f(0)+f(1)+f(-2))...

    Text Solution

    |

  17. f(x)=1, if x rational, =0, if x is irrational. Then (f(1//2)+f(sqrt5...

    Text Solution

    |

  18. Two functions f:Rrarr R, g:R rarr R are defined as follows : f(x)={{...

    Text Solution

    |

  19. If f:Rrarr R is defined by f(x)=3x-2, then (f(o)f) (x)+2=

    Text Solution

    |

  20. If f(x)=sqrt(x^(3)-1) and g(x)=root(3)(x^(2)+1), then (fog)(x)=

    Text Solution

    |