Home
Class 12
MATHS
Let the sum of all solutions of the equa...

Let the sum of all solutions of the equation `3sqrt(3) sin^(3)x + cos^(3)x + 3sqrt(3) sinx cosx=1` in the interval `[0,10pi]` denoted by S. Then `(3S)/pi` is………………..

Text Solution

Verified by Experts

160
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section - J (Akash Challengers Question)|15 Videos
  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section -H (Multiple True-false, type Questions)|10 Videos
  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - J|10 Videos
  • VECTOR ALGEBRA

    AAKASH INSTITUTE|Exercise SECTION-J (Aakash Challengers Questions)|5 Videos

Similar Questions

Explore conceptually related problems

The number of solution of the equation sin^(3)x cos x+sin^(2)x cos^(2)x+cos^(3)x sin x+1=0 in the interval [0, 2pi] is equal to

The most general solution of 3sqrt(3)sin^(3)x+cos^(3)x+3sqrt(3)sin x cos x=1

The number of solutions of the equation sin((pi x)/(2sqrt(3)))=x^(2)-2sqrt(3)x+4

Number of solution(s) of the equation (sin x)/(cos3x)+(sin3x)/(cos3x)+(sin2x)/(cos27x)=0 in the interval (0,(pi)/(4)) is

The number of solutions of the equation |2 sin x-sqrt(3)|^(2 cos^(2) x-3 cos x+1)=1 in [0, pi] 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 solutions of the equation sinx-sin2x+sin3x=2cos^(2)x-cosx" in "(0,pi) is

The sum of solutions of the equation 2 sin^(-1) sqrt(x^(2)+x+1)+cos^(-1) sqrt(x^(2)+x)=(3pi)/(2) 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

AAKASH INSTITUTE-TRIGNOMETRIC FUNCTIONS -Section I (subjective Type questions)
  1. Solve 4cot2theta=cot^2theta-tan^2theta

    Text Solution

    |

  2. If 3tan(theta-15^0)=tan(theta+15^0)0<theta<90^0 , find theta .

    Text Solution

    |

  3. if cos 2theta = (sqrt(2)+1) ( costheta -1/sqrt(2)), then general value...

    Text Solution

    |

  4. Solve the equation sin^(2)ntheta - sin^(2)(n-1)theta = sin^(2)theta

    Text Solution

    |

  5. Solve the equation tan x + (cosx)/(sqrt(1+sin2x))=2.

    Text Solution

    |

  6. Let x and y, (0 lt x, y lt pi/2) satisfy 3sin^(2)x + 2sin^(2)y=1 and 3...

    Text Solution

    |

  7. If angles A and B satisfy sqrt(2)cosA = cosB + cos^(3)B and sqrt(2)sin...

    Text Solution

    |

  8. Let the sum of all solutions of the equation 3sqrt(3) sin^(3)x + cos^...

    Text Solution

    |

  9. Solve the equation, 4^(sin2x + 2cos^(2)x+ 2sin^(2)x)=64.

    Text Solution

    |

  10. If the equation sin6x + cos4x=-2 have a family of nonnegative solution...

    Text Solution

    |

  11. Find all values of x, y and k for which the system of equations. sin...

    Text Solution

    |

  12. Solve for x and y if sqrt(sinx cosy)=0 and 2sin^(2)x - cos2y-2=0

    Text Solution

    |

  13. In a triangle ABC, if the median and altitude from A trisect angle A, ...

    Text Solution

    |

  14. In a right angled triangle ABC, if r(in radius)=7 cm and R(Circumradiu...

    Text Solution

    |

  15. The two adjacent sides of a cyclic quadrilateral are 2a n d5 and the a...

    Text Solution

    |

  16. In a triangle ABC, perpendicualr distance of BC from the point of inte...

    Text Solution

    |

  17. In a triangleABC, if 1/r^(2) + 1/r(1)^(2) + 1/r(2)^(2) + 1/r(3)^(2) = ...

    Text Solution

    |

  18. The radius of the circle touching two sides AB and AC of a triangle AB...

    Text Solution

    |

  19. Find the cubic equation whose roots are the radius of three inscribed ...

    Text Solution

    |

  20. Let A(1)A(2)A(3)………………. A(14) be a regular polygon with 14 sides inscr...

    Text Solution

    |