Home
Class 11
MATHS
Find the period of following function f...

Find the period of following function
`f(x)=1/2{|sinx|/cosx+|cosx|/sinx}`

Text Solution

Verified by Experts

`2pi`
Promotional Banner

Topper's Solved these Questions

  • DERIVATIVES

    PATHFINDER|Exercise QUESTION BANK|81 Videos

  • FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|66 Videos

Similar Questions

Explore conceptually related problems

Find the period of the following function (i) f(x) =|sinx|+|cosx| (ii) f(x)=cos(cosx)+cos(sinx) (iii) f(x)= (|sinx+cosx|)/(|sinx|+|cosx|)

Find the range of the following function f(x)=max{sinx, cosx}

Find the range of the following function : f(x)=3sinx+4cosx-5

Find the period (if periodic) of the following function : f(x)=(|sinx+cosx|)/(|sinx|+|cosx|)

Find the ranges of the following functions : y = sinx + cosx

Find the range of the following function f(x)=log_2"((sinx-cosx+3sqrt2)/sqrt2)

Find the range of the function f(x)=1/(3sinx+4cosx+6)

cot2x = cosx + sinx

Find which of the following functions is even or odd ? f(x)=x^2+|sinx|+cosx

Find the period of "cos"(cosx)+cos(sinx)dot

PATHFINDER-FUNCTION-QUESTION BANK
  1. Show that the function f(x)=(2x(sinx+tanx))/(2[(x+21pi)/pi]-41) is sym...

    Text Solution

    |

  2. Find the period of following function f(x)=[sin3x]+[cos6x]

    Text Solution

    |

  3. Find the period of following function f(x)=1/2{|sinx|/cosx+|cosx|/sin...

    Text Solution

    |

  4. Find the period of following function f(x)=e^(ln(sinx))+tan^3x-"cosec...

    Text Solution

    |

  5. Let f(x+p)=1+{2-3f(x)+3(f(x))^2-(f(x)^3}^(1//3), for all x in R where...

    Text Solution

    |

  6. Let f(x) be defined on [-2,2] and is given by f(x)={(-1, -2lexlt0),(x...

    Text Solution

    |

  7. f(x)={(x-1, -1lexlt0),(x^2, 0ltxle1):} and g(x)=sin x. Then find h(x)=...

    Text Solution

    |

  8. Find the inverse of the following function: f(x)=sin^(-1)(x/3), x in [...

    Text Solution

    |

  9. Find the inverse of the following function: f(x)=loge(x^2+3x+1), x in ...

    Text Solution

    |

  10. Find the inverse of the following function: f(x)=loge(x+sqrt(x^2+1))

    Text Solution

    |

  11. If the function f:[1, infty) rarr [1, infty) is defined by f(x)=2^(x(x...

    Text Solution

    |

  12. f(x)=sin^(-1)(x-1)+cos^(-1)(x-2), then domain of f(x) is

    Text Solution

    |

  13. The domain of definition of the function y(x) given by the equation 2^...

    Text Solution

    |

  14. Domain of the function f(x)=1/sqrt(^10C(x-1) -3. ^10Cx contains the po...

    Text Solution

    |

  15. Domain of the function f(x)=x/sqrt(sin(Inx)-cos(Inx)) is

    Text Solution

    |

  16. If f(X)=sqrt(sec^-1((2-|x|)/4)), then the domain of f(x) is

    Text Solution

    |

  17. The range of the function f(x)=sin^-1(log [x])+log(sin^-1[x]), (where...

    Text Solution

    |

  18. If f(X)=lim[x/(x+1) + x/{(x+1)(2x+1)} + x/{(2x+1)(3x+1)} +…+ to n term...

    Text Solution

    |

  19. Find the range of the following function f(x)=log2"((sinx-cosx+3sqrt2...

    Text Solution

    |

  20. If - pi/2 lt x lt pi/2, then the range of the function f(x)=cos [x] i...

    Text Solution

    |