Home
Class 11
MATHS
If log ((-x^(2) - 6 x)//10)(sin 3 x + s...

If ` log _((-x^(2) - 6 x)//10)(sin 3 x + sin x) = log_((x^(2) - 6x)//10)(sin 2 x) ` then x =

A

`-(pi)/3`

B

`(5pi)/3`

C

`-(5pi)/3`

D

`(pi)/3`

Text Solution

Verified by Experts

The correct Answer is:
C
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

int (cos x)/( sin x log sin x)dx=

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

If log_(cos x)sin x + log_(sin x)cos x=2 then x =

(sin x - sin 3x)/( sin ^(2) x - cos ^(2) x) = 2 sin x

Find (dy)/(dx) , if y = (sin x)^(log x) + x^(sin x)

If sin x - 3 sin 2x + sin 3x = cos x - 3 cos 2x + cos 3x then x =

sin 2x.sin 3x.sin 4x

If sin ^(2) x + (1)/(4) sin^(2) 3x = sin x sin^(2) 3 x then x =

int [ sin(log x)+ cos (log x ) ] dx =

AAKASH SERIES-TRIGNOMETRIC EQUATIONS-ADDITIONAL PRACTICE EXERCISE (LEVEL -I (MAIN) STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. If m and n ( gt m) are positive integer, the number of solutions of ...

    Text Solution

    |

  2. The number of solutions of the equation 2x=3pi(1-cosx) is

    Text Solution

    |

  3. If log ((-x^(2) - 6 x)//10)(sin 3 x + sin x) = log((x^(2) - 6x)//10)(...

    Text Solution

    |

  4. If |2 sin theta-cosec theta|ge1 and thea!=(npi)/2, n in Z then

    Text Solution

    |

  5. If tan^(3)x+3gt3 tan x +tan^(2)xthen

    Text Solution

    |

  6. The number of solutions of [sinx+cosx]=3+[-sinx]+[-cosx] (where [.] d...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |