Home
Class 12
MATHS
If the sum of all the solutions of the e...

If the sum of all the solutions of the equation `8 cosx.(cos(pi/6+x)cos(pi/6-x)-1/2)=1` in `[0,pi]` is `k pi` then k is equal to

A

`13/9`

B

`8/9`

C

`20/9`

D

`2/3`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE-1|70 Videos

  • TRIGONOMETRIC FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE-2|30 Videos

  • THREE DIMENSIONAL GEOMETRY

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos

  • VECTOR ALGEBRA

    DISHA PUBLICATION|Exercise EXERCISE -2 : CONCEPT APPLICATOR|30 Videos

Similar Questions

Explore conceptually related problems

If the sum of all the solutions of the equation 8cos x*(cos((pi)/(6)+x)cos((pi)/(6)-x)-(1)/(2))=1 in [0,pi] is k pi then k is equal to

The sum ofall the solutions ofthe equation cos((pi)/(3)+x)*cos((pi)/(3)-x)=(1)/(4)x in[0,6 pi]

The sum of all the solutions in [0, 4pi] of the equation tan x+ cot x+1= cos (x+pi/4) is

If the sum of all solutions of equation sin x+2cos x=1+sqrt(3)cos x in [0,2 pi] is (k pi)/(6) then k is

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

The number of real solutions of the equation sqrt(1+cos2x) = sqrt(2)cos^(-1)(cosx) in [pi/2,pi] is

sum of all the solutions of the equation cos2x+sin^(2)2x=1 which lie in the interval [0,2 pi] is equal to

DISHA PUBLICATION-TRIGONOMETRIC FUNCTIONS -EXERCISE-2
  1. If the sum of all the solutions of the equation 8 cosx.(cos(pi/6+x)cos...

    Text Solution

    |

  2. The expression (1 + sin 2 alpha )/( cos (2 alpha - 2pi) tan (alpha - (...

    Text Solution

    |

  3. Solve the inequality, cosxle-1/2.

    Text Solution

    |

  4. Two men are on the opposite sides of a tower. They measure the angles ...

    Text Solution

    |

  5. The range of vlaues of the expression 5 cos theta + 3 cos (theta + (pi...

    Text Solution

    |

  6. The value of (1-tan^2 1 5^(@))/(1+tan^2 1 5^(@)) is

    Text Solution

    |

  7. Which pairs of function is identical ?

    Text Solution

    |

  8. If y=(sinx+cos e cx)^2+(cosx+secx)^2 , then the minimum value of y ,AA...

    Text Solution

    |

  9. If tan ((pi)/(4) + theta) + tan ((pi )/(4) - theta) = p sec 2 theta) t...

    Text Solution

    |

  10. Period of sin theta - sqrt2 cos theta is

    Text Solution

    |

  11. tan^(6)20^(@) - 33tan^(2) 20^(@) + 27 tan^(2) 20^(@) + 4=

    Text Solution

    |

  12. Which of the following is correct ?

    Text Solution

    |

  13. if:f(x)=(sinx)/(sqrt(1+tan^2x))-(cosx)/(sqrt(1+cot^2x)), then find the...

    Text Solution

    |

  14. If sin x + sin ^(2) x=1, then the value of cos ^(12) x+3 cos ^(10) x+...

    Text Solution

    |

  15. The value of sin ""(pi)/(16) sin ""(3pi)/(16) sin ""(5pi)/(16) sin ""(...

    Text Solution

    |

  16. General solution of the equation 2 cot ^(2) theta + 2sqrt3 cot theta...

    Text Solution

    |

  17. A man observe that was he has climbed up 1/3 of the length of an incli...

    Text Solution

    |

  18. The number of solutions of tan x+ sec x=2 cos x in (0, 2pi) is

    Text Solution

    |

  19. If sinA=3/5, 0 lt A lt pi/2 and cosB=-12/13, pi lt B lt (3pi)/2, then ...

    Text Solution

    |

  20. The domain of f(x)= sqrt(cos(sinx))+sqrt(logx{x}) where {x} denotes fr...

    Text Solution

    |

  21. The range of f(x) = cos x - sin x is

    Text Solution

    |