Home
Class 11
MATHS
The least positive value of x satisfying...

The least positive value of x satisfying `(sin^(2) 2 x + 4 sin^(4) x - 4 sin^(2) x cos ^(2) x)/(4 - sin ^(2) 2 x - 4 sin^(2) x)= (1)/(9)` is

A

`(pi)/3`

B

`(pi)/6`

C

`(2pi)/3`

D

`(5pi)/6`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE-II (More than one correct Answer Types Questions)|4 Videos
  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE-II (Linked Comprehension Type Questions)|2 Videos
  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE-I MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|12 Videos
  • TRANSFORMATIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I LEVEL-I Straight Objective Type Questions)|41 Videos
  • TRIGONOMERTIC RATIOS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|77 Videos

Similar Questions

Explore conceptually related problems

All the values of x satisfying sin 2x + sin 4x = 2 sin 3x are

2(sin^(6) x + cos^(6) x ) -3(sin^(4) x + cos^(4) x ) +1=

cos ^(2) 2x -cos ^(2) 6x = sin 4x sin 8x

sin ^(2) 6x - sin ^(2) 4x = sin 2x sin 10x

int (1)/(sqrt(sin^(2) x cos^(2) x - sin^(4) x)) dx =

All the values of x satisfying sin2x+sin4x=2sin3x are

If y=1+4sin^2 x cos^(2) x , then

sin x + sin^(2) x + sin^(3) x = 1 rArr cos^(6) x - 4cos^(4) x + cos^(2) x =

( sin x - cos x)^(2) + cos^(2) ((pi)/(4) - x) in

AAKASH SERIES-TRIGNOMETRIC EQUATIONS-LECTURE SHEET (EXERCISE-II (Straight objectives Types Questions)
  1. The number of general solutions (sin 10^(@))^(tan x + tan 3 x) = tan 1...

    Text Solution

    |

  2. Number of solutions of equationn sin^(2)theta- 4/(sin^(3)theta-1)=1-4/...

    Text Solution

    |

  3. The least positive value of x satisfying (sin^(2) 2 x + 4 sin^(4) x - ...

    Text Solution

    |

  4. The number of solutions of sec^(2) theta + cosec^(2) theta + 2 cosec^(...

    Text Solution

    |

  5. Number of solution of the equation cos^(4)2x+2sin^(2)2x=17(cosx+sinx)^...

    Text Solution

    |

  6. The value of theta which satisfy r sin theta=3 and r=4(1+sin theta), 0...

    Text Solution

    |

  7. The real solutions of the equation cos^(7)x+sin^(4)x=1 in (-pi,pi) are...

    Text Solution

    |

  8. The number of solutions of equation 6cos 2 theta+2cos^(2)(theta//2)+2s...

    Text Solution

    |

  9. Let 0lt theta(1)lt theta(2)lt theta(3)lt …….. Denote the positive solu...

    Text Solution

    |

  10. The number of roots of the equation 16sec^(3)theta-12tan^(2)theta-4sec...

    Text Solution

    |

  11. If 0 le x le 2 pi, then the number of solution of 3 (sin x + cos x) - ...

    Text Solution

    |

  12. The sum of all the solution is of the equation cos theta cos ((pi)/3+t...

    Text Solution

    |

  13. (sin ^(3) theta - cos^(3) theta)/(sin theta - cos theta) - (cos theta)...

    Text Solution

    |

  14. The total number of solutions of cos x=sqrt(1-sin2x) in [0,2pi] is equ...

    Text Solution

    |

  15. The number of values of theta satisfying 4 cos theta + 3 sin theta = 5...

    Text Solution

    |

  16. The number of integral values of 'n' so that sin x (sin x + cos x ) =n...

    Text Solution

    |

  17. The number of pairs of integer (x,y) that satisfy the follownig two eq...

    Text Solution

    |

  18. If tan^(2)(pi(x+y))+cot^(2)(pi)x+y=1+sqrt((2x)/(1+x^(2))) where x,y ar...

    Text Solution

    |

  19. If 2tan^(2)x-5secx=1 for exactly 7 distinct values of x in [0,(npi)/2]...

    Text Solution

    |

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

    Text Solution

    |