Home
Class 12
MATHS
The equation e^(sin x)-e^(-sin x)-4=0 ha...

The equation `e^(sin x)-e^(-sin x)-4=0` has

A

exactly one real root

B

exactly four real roots

C

infinite number of real roots

D

no real roots

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 1|4 Videos

  • TRIGONOMETRIC EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 2|4 Videos

  • TRIGONOMETRIC EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

  • TRANSFORMATION OF AXES

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET-4|3 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPEICAL TYPE QUESTIONS ) SET -4|20 Videos

Similar Questions

Explore conceptually related problems

Number of solutions to the equation |2e^(sin x) - 3 - e^(2 sin x)|= | e^(sin x) - e^(2 sinx) - 1| i n [0, 2 pi] is

int e^(sinx) .sin2x dx =

For x in (0,pi) the equation sinx+2sin2x-sin3x=3 has

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

int e^(5x)sin 6xdx=

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

Between any two real roots of the equation e^(x) sin x =1 , the equation e^(x) cos x = -1 has

The equation sqrt(3)sin x + cos x = 4 has

Number of solution (s) of the equation (sin x)/( cos 3 x) +( sin 3 x )/( co 9 x) + ( sin 9 x )/( cos 27 x) = 0 in the interval (0, (pi)/( 4)) is

The number of roots of the equation sqrt(2)+e^(cos h^(-1) x)-e^(sin h^(-1) x)=0 is

DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC EQUATIONS -EXERCISE 1
  1. The smallest positive real value of p for which the equation cos (p si...

    Text Solution

    |

  2. The smallest positive values of x and y which satisfy tan (x-y)=1, sec...

    Text Solution

    |

  3. The solution of (81)^(sin^(2)x) +(81)^(cos^(2)x)=30 in [0, pi//2] is

    Text Solution

    |

  4. The general solution x for the equation 9^(cos x)-2.3^(cos x)+1=0 is

    Text Solution

    |

  5. The equation e^(sin x)-e^(-sin x)-4=0 has

    Text Solution

    |

  6. The equation sin^(4)x -2cos^(2)x + a^(2)=0 is solvable if

    Text Solution

    |

  7. The equation cos^(4)x-(a+2)cos^(2)x-(a+3)=0 possesses a solution if

    Text Solution

    |

  8. If (1)/(6) sin x, cos x, tan x are in G.P. then x is equal to

    Text Solution

    |

  9. The minimum value of 2^(sin x)+2^(cos x) is

    Text Solution

    |

  10. If tan px = cot qx then the solutions are in

    Text Solution

    |

  11. If x in (-pi, pi) such that y=1 +|cos x|+|cos^(2)x|+|cos^(3)|+ …. And ...

    Text Solution

    |

  12. The value of x which satisfies 8^(1+|cos x|+|cos x|^(2))+.... =64 in [...

    Text Solution

    |

  13. If the equation (cos p - 1)x^(2) + cos p x + sin p =0 in the varable x...

    Text Solution

    |

  14. In a triangle ABC, angle A gt angle B. If the measures of angle A, ang...

    Text Solution

    |

  15. If alpha, beta are different values of x satisfying a cos x + b sin x ...

    Text Solution

    |

  16. If alpha, beta are solutions of a cos x + b sin x = c then cos alpha +...

    Text Solution

    |

  17. If alpha, beta are solutions of a cos x + b sin x = c then sin alpha +...

    Text Solution

    |

  18. If alpha, beta are the solutions of a cos 2theta + b sin 2theta = c, t...

    Text Solution

    |

  19. If alpha, beta are different values of theta satisfying the equation 5...

    Text Solution

    |

  20. If alpha, beta are solutions of a tan theta + b sec theta = c then ta...

    Text Solution

    |