Home
Class 12
MATHS
if:f(x)=(sinx)/(sqrt(1+tan^2x))-(cosx)/(...

if:`f(x)=(sinx)/(sqrt(1+tan^2x))-(cosx)/(sqrt(1+cot^2x)),` then find the range of `f(x)`

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

If x in [1,2], then find the range of f(x)=tan x.

Find the range of f(x)=1/(2cosx-1)

f(x)=sqrt(1-sin^(2)x)+sqrt(1+tan^(2)x) then

The minimum value of the function f(x)=sinx/(sqrt(1-cos^2x))+cosx/sqrt(1-sin^2x) whenever it is defined is

int (sqrt(tan x)-sqrt(cot x))/(1+3 sin 2x)dx

Find the range of f(x)=sin^2x-sinx+1.

"Let "f(x)=((2^(x)+2^(-x))sin x sqrt(tan^(-1)(x^(2)-x+1)))/((7x^(2)+3x+1)^(3)) . Then find the value of f'(0).

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

If f (x) =(1)/(sqrt(x+2sqrt((2x-4))))+(1)/(sqrt(x-2 sqrt(2x-4))) for x gt2, then the value of f (11) is-

Let f(x)=(sqrt(x-2 sqrt(x-1)))/(sqrt(x-1)-1) , then -

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. If f(x)=sinx+cosa x is a periodic function, show that a is a rational ...

    Text Solution

    |

  2. The entire graphs of the equation y=x^2+kx-x+9 is strictly above the x...

    Text Solution

    |

  3. if:f(x)=(sinx)/(sqrt(1+tan^2x))-(cosx)/(sqrt(1+cot^2x)), then find the...

    Text Solution

    |

  4. Discuss whether the function f(x)="sin"(cosx+x) is period or not. If y...

    Text Solution

    |

  5. f(x)=1/sqrt(x^(12)-x^(9)+x^(4)-x+1). Then domain of function f(x) is

    Text Solution

    |

  6. Find the range of f(x)=|sinx|+|cosx|,x in Rdot

    Text Solution

    |

  7. If f: R to R is given by f(x)=(x^2-4)/(x^2+1) , identify the type of f...

    Text Solution

    |

  8. If f(x)=|x^2-5x+6|, then f'(x) equals

    Text Solution

    |

  9. Find the range of f(theta)=5costheta+3cos(theta+pi/3)+3

    Text Solution

    |

  10. If f: RtoS , defined by f(x)=sinx-sqrt(3)cosx+1,is onto , then find ...

    Text Solution

    |

  11. Letf(x)=x^2 and g(x)=sinx for all xIR then the set of all x satisfying...

    Text Solution

    |

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

    Text Solution

    |

  13. Show that f: R->R defined by f(x)=(x-1)(x-2)(x-3) is surjective but no...

    Text Solution

    |

  14. If f(x) is a polynomial satisfying f(x)f(1//x)=f(x) +f(1//x) and f(3)...

    Text Solution

    |

  15. Solve log("tan x")(2+4 cos^(2) x)=2.

    Text Solution

    |

  16. If the function f: RvecA given by f(x)=(x^2)/(x^2+1) is surjection, th...

    Text Solution

    |

  17. Prove that the least positive value of x , satisfying tanx=x+1,lies i...

    Text Solution

    |

  18. The values of ba n dc for which the identity of f(x+1)-f(x)=8x+3 is sa...

    Text Solution

    |

  19. Find the range of f(x)=sec(pi/4cos^2x)

    Text Solution

    |

  20. The number of values of x for which |||x^2-x+4|-2|-3|=x^2+x-12 is

    Text Solution

    |