Home
Class 11
MATHS
Determine the smallest postive value of...

Determine the smallest postive value of x which satisfies the equation `sqrt(1 + sin 2 x) - sqrt( 2) cos 3 x = 0 `

A

`(pi)/4`

B

`(pi)/16`

C

`(pi)/3`

D

`(pi)/8`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL -II LECTURE SHEET (ADVANCED) MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|3 Videos

  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL -II LECTURE SHEET (ADVANCED) LINKED COMPREHENSION TYPE QUESTIONS)|3 Videos

  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -IV (MISCELLAENEOUS STRAIGHT OBJECTIVES TYPE QUESTIONS)|13 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

The smallest positive values of x and y which satisfy tan (x-y)=1, sec (x+y)=2//sqrt(3) are

The number of values of x in [0, 2 pi] satisfying the equation |cos x - sin x | ge sqrt(2) , is

The smallest positive value of x (in radians ) satisfying the equation log_(cos x) ((sqrt(3))/(2) sin x) = 2 + log _(sec x) tan x)

Solve sin x + cos x - 2sqrt(2) sin x cos x = 0

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

Solve sin x + sqrt(3) cos x = sqrt(2) .

Smallest positive root of the equaiton sqrt(sin ( 1- x)) = sqrt( cos x )

The smallest positive real value of p for which the equation cos (p sin x) = sin (p cos x) has a solution where x in [0, 2pi] is

AAKASH SERIES-TRIGNOMETRIC EQUATIONS-ADDITIONAL PRACTICE EXERCISE (LEVEL -I (MAIN) STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. The number of solutions of [sinx+cosx]=3+[-sinx]+[-cosx] (where [.] d...

    Text Solution

    |

  2. If [sinx]+[sqrt(2)cosx]=-3,x I [0,2pi] ([.] denotes the greatest integ...

    Text Solution

    |

  3. For what values of k the equation sinx+cos(k+x)+cos(k-x)=2 has real so...

    Text Solution

    |

  4. If (sin^(3)"" (x)/(2)-cos^(3)""(x)/(2))/(2 + sin x) = (cos x)/( 3) th...

    Text Solution

    |

  5. If cot(x//2) - cosec (x //2) = cot x then x =

    Text Solution

    |

  6. Determine the smallest postive value of x which satisfies the equatio...

    Text Solution

    |

  7. The set S(1) and S(2) are solution sets of (1+a)cos theta cos (2 theta...

    Text Solution

    |

  8. If sin x ( cos ""(x)/( 4) - 2 sin x) + ( 1 + sin "" (x)/( 4) - 2 cos x...

    Text Solution

    |

  9. If the equation x^(2) + 12 + 3 sin (a + bx) + 6x = 0 has at least one...

    Text Solution

    |

  10. The number of possible triplets (x,y,z) such that (x+y)+(y+2z)cos 2 th...

    Text Solution

    |

  11. Assume that theta is a rational multiple of pi such that cos theta isa...

    Text Solution

    |

  12. The number of real roots of the equation cosec theta + sec theta - sqr...

    Text Solution

    |

  13. Given x + sin y = 2009 , x + 2009 cosy = 2 2008, where yin [0, (pi)/(...

    Text Solution

    |

  14. If sin x + sin ((pi)/(8) sqrt((1 - cos 2 x)^(2) + sin ^(2) 2 x)) = 0,...

    Text Solution

    |

  15. The number of solutions of the equation 1+e^(cot^(2)x)=sqrt(2|sinx|-1)...

    Text Solution

    |

  16. No of solutions of theta in [0,2pi] satisfying the equation log(sqrt(3...

    Text Solution

    |

  17. Consider the equation -2sqrt(3)pisinx=|x+pi|+|x-2pi| then the true sta...

    Text Solution

    |

  18. If the equation tan (P cot x) = cot (P tan x) has a solution in x in...

    Text Solution

    |

  19. Values of x and y satisfying the equation sin^(7)y=|x^(2)-x^(2)-9x+9|+...

    Text Solution

    |

  20. If [y]=sinx(x) and y=cosx are two given equations then the number of s...

    Text Solution

    |