Home
Class 12
MATHS
The function f(x)=(sin^4x+cos^4x)/(x+tan...

The function `f(x)=(sin^4x+cos^4x)/(x+tanx)` is :

A

even

B

odd

C

periodic with period `pi`

D

periodic with period ` 2pi`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • REAL FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 Videos

  • REAL FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|8 Videos

  • PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|55 Videos

  • SCALAR AND VECTOR PRODUCTS OF THREE VECTORS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|63 Videos

Similar Questions

Explore conceptually related problems

The period of the function f(x)=sin^(4)3x+cos^(4)3x , is

The function f(x)=sin^4x+cos^4x increasing in interval

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

The function f(x) = sin ^(4)x+ cos ^(4)x increases, if

Separate the interval [0,pi/2] into sub intervals in which function f(x)=sin^4(x)+cos^4(x) is strictly increasing or decreasing.

The range of the function f(x)=3|sin x|-2|cos x| is :

int(sin2x)/(sin^4x+cos^4x)d x

The function f(x)=(x)/(1+x tanx )

The minimum value of the function f(x)=(3 sin x - 4 cos x - 10)(3 sin x + 4 cos x-10) , is

The difference between the maximum and minimum value of the function f(x)=3sin^4x-cos^6x is :

OBJECTIVE RD SHARMA ENGLISH-REAL FUNCTIONS -Exercise
  1. The maximum possible domain and thecorresponding range of f(x)=(-1)^x

    Text Solution

    |

  2. If f(x)={x ,xi sr a t ion a l1-x ,xi si r r a t ion a l ,t h e nf(f(x)...

    Text Solution

    |

  3. The function f(x)=(sin^4x+cos^4x)/(x+tanx) is :

    Text Solution

    |

  4. The function f(x)=(sec^(4)x+cosec^(4)x)/(x^(3)+x^(4)cotx), is

    Text Solution

    |

  5. Let f (x) =x and g (x) = |x| for all . Then the function satisfying ...

    Text Solution

    |

  6. Let f : R to R be a function defined by f(x)=(|x|^(3)+|x|)/(1+x^(2))...

    Text Solution

    |

  7. about to only mathematics

    Text Solution

    |

  8. If f(x)=(ax^(2)+b)^(3), the function g such that f(g(x))=g(f(x)), is g...

    Text Solution

    |

  9. If a function f:[2,oo)toR is defined by f(x)=x^(2)-4x+5, then the rang...

    Text Solution

    |

  10. The domain of f(x)=ln(a x^3+(a+b)x^2+(b+c)x+c), where a >0, b^2-4ac=0,...

    Text Solution

    |

  11. If f(x)=sin(logx) then f(xy)+f(x/y)-2f(x)cos(logy)= (A) cos(logx) ...

    Text Solution

    |

  12. The domain of sin^(-1)[log(3)((x)/(3))] is :

    Text Solution

    |

  13. The function f(x)=(sec^(-1)x)/(sqrt(x-[x])) where [x] denotes the gre...

    Text Solution

    |

  14. The domain of definition of the function f(x)=3sqrt((2x+1)/(x^(2)-10x...

    Text Solution

    |

  15. Let g(x) be a function defined on[-1,1]dot If the area of the equilate...

    Text Solution

    |

  16. The domain of definition of the function f(x)=sin^(-1)((x-3)/(2))-l...

    Text Solution

    |

  17. Find the domain of the function: f(x)=sin^(-1)(|x-1|-2)

    Text Solution

    |

  18. If f : R -> R are defined by f(x) = x - [x] and g(x) = [x] for x in R,...

    Text Solution

    |

  19. The domain of definition f(x)=sqrt(log(0.4) ((x-1)/(x+5)))xx1/(x^2-36...

    Text Solution

    |

  20. The set of all x for which the none of the functions is defined f(x)=l...

    Text Solution

    |