Home
Class 12
MATHS
Find the value of x in [-pi,pi] for whic...

Find the value of `x` in `[-pi,pi]` for which `f(x)=sqrt((log)_2(4sin^2x-2sqrt(3)sinx-2sinx+sqrt(3)+1))` is defined.

Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE PUBLICATION|Exercise Archives (Numerical Value Type)|3 Videos

  • SCALER TRIPLE PRODUCTS

    CENGAGE PUBLICATION|Exercise DPP 2.3|11 Videos

Similar Questions

Explore conceptually related problems

Find the value of x for which f(x)=sqrt(sinx-cosx) is defined, x in [0,2pi)dot

Find the value of x for which f(x) = 2 sin^(-1) sqrt(1 - x) + sin^(-1) (2 sqrt(x - x^(2))) is constant

Find the values of x of for which sqrt(5-|2x-3|) is defined

Find the values of x which the function f(x)=sqrt(log_(1//2)((x-1)/(x+5)) is defined.

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

sin ^(-1)sqrt(3)x+sin ^(-1)x=(pi)/(2)

The value of x in (0,pi/2) satisfying (sqrt(3)-1)/(sinx)+(sqrt(3)+1)/(cosx)=4sqrt(2) is / are

Find the value of lim_(x to pi/4) (4sqrt2-(cosx+sinx)^5)/(1-sin2x)

Find the domain of f(x)=sqrt(sinx)+sqrt(16-x^(2)).

Find the range of f(x)=(2sin^2x+2sinx+3)/(sin^2x+sinx+1)

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Prove that f(x)gi v e nb yf(x+y)=f(x)+f(y)AAx in R is an odd function...

    Text Solution

    |

  2. If f(x)=sin([x]pi)/(x^2+x+1)where [.] denotes the greatest integer fu...

    Text Solution

    |

  3. Find the value of x in [-pi,pi] for which f(x)=sqrt((log)2(4sin^2x-2s...

    Text Solution

    |

  4. If f(x+y)=f(x)dotf(y) for all real x , ya n df(0)!=0, then prove that ...

    Text Solution

    |

  5. Let f(x) be defined for all x > 0 and be continuous. Let f(x) satisfie...

    Text Solution

    |

  6. Find the domain of f(x)=sqrt(x-4-2sqrt((x-5)))-sqrt(x-4+2sqrt((x-5)))

    Text Solution

    |

  7. Let f(x) be periodic and k be a positive real number such that f(x+k)+...

    Text Solution

    |

  8. Find the domain of the following functions: f(x)=(x-3)/((x+3)sqrt(x^2-...

    Text Solution

    |

  9. Let S be the set of all triangles and R^+ be the set of positive real ...

    Text Solution

    |

  10. Check whether the function defined by f(x+lambda)=1+sqrt(2f(x)-f^2(x))...

    Text Solution

    |

  11. Solve (x-1)^2(x+4)<0

    Text Solution

    |

  12. If f(x)={x ,x is rational 1-x ,x is irrational ,then f(f(x)) is

    Text Solution

    |

  13. An odd function is symmetric about the vertical line x=a ,(a >0),a n d...

    Text Solution

    |

  14. Solve x >sqrt((1-x))

    Text Solution

    |

  15. The range of f(x)=cos^(-1)((1+x^2)/(2x))+sqrt(2-x^2) is {0,1+pi/2} ...

    Text Solution

    |

  16. If f(x)=lambda|sinx|+lambda^2|cosx|+g(lambda) has a period = pi/2 then...

    Text Solution

    |

  17. Find domain of f(x) = sqrt(1 - sqrt(1-sqrt(1 - x^2))).

    Text Solution

    |

  18. If f(x) =ln ((x^2 + e)/(x^2 + 1)), then range of f(x) is

    Text Solution

    |

  19. If f(x) satisfies the relation f(x)+f(x+4)=f(x+2)+f(x+6) for allx , th...

    Text Solution

    |

  20. Solve (x-1)|x+1|cosx>0,forx in [-pi,pi]

    Text Solution

    |