Home
Class 12
MATHS
The sum of the solutions in (0,2pi) for...

The sum of the solutions in `(0,2pi)` for the equation cosx cos `(pi/3-x)cos (pi/3+x)=1/4` is

A

`4pi`

B

`pi`

C

`2pi`

D

`3pi`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL COORDINATES DIRECTION COSINES AND DIRECTION RATIOS AND PLANE

    SIA PUBLICATION|Exercise Problems|54 Videos
  • TRIGONOMETRIC RATIOS

    SIA PUBLICATION|Exercise PROBLEMS|54 Videos

Similar Questions

Explore conceptually related problems

The sum of the solutions in (0, 2pi) of the equation cos x cos ((pi)/(3)-x)cos((pi)/(3)+x)=(1)/(4) is

The sum of all the solution is of the equation cos theta cos ((pi)/3+theta)cos ((pi)/3-theta)=1/4, theta in [0,6pi ]

The period of cos x cos(pi//3 +x) cos(pi//3-x) is

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

The number of solutions of the equation 3Cos^(-1)x-pix-pi/2=0

The number of solutions of the equation 3cos^(-1)x-pix-(pi)/2=0

Number of solutions of the equation cos^(-1)(1-x)-2cos^(-1)x=pi/2 is

The number of solutions of the equation cos^(2)(pi)/3 cos x-(8pi)/3=1 in the interval [0,10pi] is

SIA PUBLICATION-TRIGONOMETRIC AND INVERSE TRIGONOMETRIC EQUATIONS -Problems
  1. If tan theta tan (120^(@)-theta)tan (120^(@)+theta)=1//sqrt(3), then t...

    Text Solution

    |

  2. If sin^(-1)(x-x^2/2+x^3/4-….oo)+cos^(-1)(x^2-x^4/2+x^6/4-….oo)=pi/2 an...

    Text Solution

    |

  3. The sum of the solutions in (0,2pi) for the equation cosx cos (pi/3-x...

    Text Solution

    |

  4. If x > 0 , y > 0 , z > 0 , xy+yz+zx < 1 and if tan^(-1)x+tan^(-1)y + t...

    Text Solution

    |

  5. The set of solutions of the system of equations x+y=(2pi)/3 and cosx...

    Text Solution

    |

  6. If cos^(-1)(5/13)+cos^(-1)(3/5)=cos^(-1)x, then x is equal to

    Text Solution

    |

  7. If tanx+tan(x+pi/3)+tan(x+(2pi)/3)=3, then tan 3x is equal to

    Text Solution

    |

  8. If 1/2 le x le 1, then cos^(-1)x+cos^(-1)(x/2+1/2sqrt(3-3x^2)) is equ...

    Text Solution

    |

  9. The most general value of theta which satisfies both the equations tan...

    Text Solution

    |

  10. (tan^(-1)x)^2+(cot^(-1)x)^2=(5pi^2)/8 rArr x =

    Text Solution

    |

  11. The set of solutions of the equation, (sqrt3-1)sin theta + (sqrt3+1)c...

    Text Solution

    |

  12. If tan^(-1)x + tan^(-1)y+tan^(-1)z=pi/2, then 1-xy-yz-zx is equal to

    Text Solution

    |

  13. If 3 cosx ne 2 sin x , then the general solution of sin^2x-cos2x=2-si...

    Text Solution

    |

  14. cos^(-1)((-1)/2)-2 sin^(-1)(1/2)+3 cos^(-1) ((-1)/sqrt2) -4 tan^(-1) (...

    Text Solution

    |

  15. { x in R : cos 2x + 2cos^2 x =2} is equal to

    Text Solution

    |

  16. If sin^(-1)(3/x)+sin^(-1)(4/x)=pi/2, then x is equal to

    Text Solution

    |

  17. The value of x , where x > 0 and tan (sec^(-1)(1/x))=sin(tan^(-1)(2)) ...

    Text Solution

    |

  18. If cos2x=(sqrt2+1)(cosx-1/sqrt2), cos x ne 1/2, then x belong to

    Text Solution

    |

  19. sin^(-1)(4/5)+2tan^(-1)(1/3) is equal to

    Text Solution

    |

  20. If sin^(-1)(x)+sin^(-1)(1-x)=cos^(-1)(x), then x belong to

    Text Solution

    |