Home
Class 11
MATHS
If e^(cos x)-e^(-cos x) =4, then the val...

If `e^(cos x)-e^(-cos x) =4`, then the value of the `cosx` is

A

`log(2+sqrt5)`

B

`-log(2+sqrt5)`

C

`log(-2+sqrt5)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|19 Videos
  • RECTANGULAR CO-ORDINATES

    PATHFINDER|Exercise QUESTION BANK|27 Videos

Similar Questions

Explore conceptually related problems

If sec^(-1)x=cos e c^(-1)y , then find the value of cos^(-1)(1/x)+cos^(-1)(1/y)

If int (e^(x)(1+sinx))/(1+cos x)dx=e^(x)f(x)+c , then the value of f(x) is -

If f(x)=cosx-cos^(2)x+cos^(3)x-…oo , then the value of int f(x) dx is equal to -

If sin y+e^(-x cos y)=e , then the value of (dy)/(dx) at (1, pi) is -

If f (x) =(e^(x) -e ^(-x))/( e ^(x) +e^(-x)) +2, then the value of f ^(-1) (x) is-

If cos e ctheta-cottheta=q , then the value of cos e ctheta is

The minimum value of cos(cosx) is

int e^(x)(cos x-sin x) dx

If an antiderivative of f(x) is e^(x) and that of g(x) is cosx, then the value of int f(x) cos x dx+ int g(x) e^(x) dx is equal to -

If y=(sinx+cos e cx)^2+(cosx+secx)^2 , then the minimum value of y ,AAx in R ,

PATHFINDER-QUADRATIC EQUATION AND EXPRESSION-QUESTION BANK
  1. The sum of all real roots of the equationabs(x-2)^2+abs(x-2)-2=0 is

    Text Solution

    |

  2. If alpha is a root of 4x^2+2x-1=0, then the other root is

    Text Solution

    |

  3. If e^(cos x)-e^(-cos x) =4, then the value of the cosx is

    Text Solution

    |

  4. If altbltcltd, then the roots of equation (x-a)(x-c)+2(x-b)(x-d)=0, ar...

    Text Solution

    |

  5. If alphaand beta(alphaltbeta) are the roots of the equation x^2+bx+c=0...

    Text Solution

    |

  6. If tan of angles A,B,C are the solutions of the equations tan^3x+3ktan...

    Text Solution

    |

  7. The number of solutions of the equation sin(e^x)=5^x+5^(-x)is

    Text Solution

    |

  8. If p(x) be a polynomial satisfying the identity p(x^2)+2x^2+10x=2xp(x+...

    Text Solution

    |

  9. Ifbgta, then the equation (x-a)(x-b)-1=0, has

    Text Solution

    |

  10. The value of alpha and beta such that equation x^2+2x+2+e^a-sinbeta=0 ...

    Text Solution

    |

  11. The values of 'a' for which x^2+ax+sin^-1(x^2-4x+5)+cos^-1(x^2-4x+5)=...

    Text Solution

    |

  12. The number of real solution to the equation -x^2+x-1=sin^(2)x

    Text Solution

    |

  13. If 1,2,3 and 4 are the roots of the equation x^4+ax^3+bx^2+cx+d=0 then...

    Text Solution

    |

  14. The smallest positive x satisfying logsin x cos x+log(cos x) (sin x)=2...

    Text Solution

    |

  15. The set of values of 'a' for which x^2-ax+sin^-1(sin4)gt0 forallx in R...

    Text Solution

    |

  16. If (a^3(x-b)(x-c)(x-d))/((a-b)(a-c)(a-d))+(b^3(x-c)(x-d)(x-a))/((b-c)(...

    Text Solution

    |

  17. Let f(x)=x^3+3x^2+6x+2sinx, then the equation 1/(x-f(1))+2/(x-f(2))+3/...

    Text Solution

    |

  18. Integral value of x for, which (5x-1)lt(x+1)^2lt7x-3

    Text Solution

    |

  19. If exp{(sin^2 x+sin^4 x+sin^6 x+...)In2} satisfies the quadratic equat...

    Text Solution

    |

  20. The number of values of the triple (a,b,c) for which a coss 2x+bsin^2 ...

    Text Solution

    |