Home
Class 12
MATHS
e^(sinx)-e^(-sinx)=4 for...

`e^(sinx)-e^(-sinx)=4` for

A

all real values of x

B

some `x in [0, pi//2]`

C

some `x in (-pi//2, pi//2)`

D

no real value of x

Text Solution

Verified by Experts

The correct Answer is:
d
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (LEVEL 2 Single Correct Answer Type Questions)|30 Videos

  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Numerical Answer Type Questions)|32 Videos

  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Concept-based Single Correct Answer Type Questions ) |20 Videos

  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|25 Videos

  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|20 Videos

Similar Questions

Explore conceptually related problems

The solution of the equation e^(sinx) -e^(-sinx)-4 = 0 is :

If e^(sinx)-e^(-sinx)-4=0 , then the number of real values of x is

The equation e^(sinx)-e^(-sinx)-4=0 has (A) non real roots (B) integral roots (C) rational roots (D) real and unequal roots

Show that the equation e^(sinx)-e^(-sin x)-4=0 has no real solution.

e^(sinx)sin(e^(x))

If I=int_(-pi)^pi e^(sinx)/(e^(sinx)+e^(-sinx))dx , then I equals (A) pi/2 (B) 2pi (C) pi (D) pi/4

MCGROW HILL PUBLICATION-TRIGONOMETRICAL IDENTITIES AND EQUATIONS -EXERCISE (LEVEL 1 Single Correct Answer Type Questions)
  1. 2cos^(2)x+4cosx=3sin^(2)x if

    Text Solution

    |

  2. 6tan^(2)x-2cos^(2)x=cos2x if

    Text Solution

    |

  3. The greatest value of cos theta for which cos 5 theta=0 is

    Text Solution

    |

  4. If tan p theta= tan q theta, then the values of theta form an A.P. wit...

    Text Solution

    |

  5. The equation int(0)^(x).(t^(2)-8t+13) dt =x sin(a//x) has a solution i...

    Text Solution

    |

  6. The smallest positive root of the equation sqrt(sin(1-x))=sqrt(cosx)...

    Text Solution

    |

  7. The sum of the roots of the equation 4cos^(3)x-4cos^(2)x-cos(pi+x)-1...

    Text Solution

    |

  8. A solution (x, y) of x^(2)+2x sin xy+1=0 is

    Text Solution

    |

  9. e^(sinx)-e^(-sinx)=4 for

    Text Solution

    |

  10. The number of values of x satisfying the condition sin x +sin 5x=sin3x...

    Text Solution

    |

  11. sin x, sin2x, sin3x are in A.P. if

    Text Solution

    |

  12. 2sin^(2)((pi//2)cos^(2)x)=1-cos(pi sin2x) if

    Text Solution

    |

  13. Number of solutions of the equation 4 sin^(2)x+tan^(2)x+cot^(2)x+"cose...

    Text Solution

    |

  14. Sum of integral values of n such that sinx (2sin x+cosx)=n, has at le...

    Text Solution

    |

  15. If 0 lt x lt pi//2 and sin(2 sin x)=cos(2 cos x) then tan x+cotx=(a)/...

    Text Solution

    |

  16. If 15sin^(4)alpha+10cos^(4)alpha=6 then the value of 8"cosec"^(6)alpha...

    Text Solution

    |

  17. If sum(r = 1)^(oo) "tan"^(-1)(1)/(2r^(2))=t, then tan t is equal to

    Text Solution

    |

  18. If theta in [-2011pi, 2011pi], then the number of solutions of the equ...

    Text Solution

    |

  19. If x="sin"(2pi)/(7)+"sin"(4pi)/(7)+"sin"(8pi)/(7) and y="cos"(2pi)/(7)...

    Text Solution

    |

  20. Number of solutions of the equation sin((pi x)/(2sqrt(3)))=x^(2)-2s...

    Text Solution

    |