Home
Class 11
MATHS
The no. of solution(s) of the equation 3...

The no. of solution(s) of the equation `3(sinx+cosx)-2(sin^3x+cos^3x)=8` is

A

0

B

1

C

2

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATION

    PATHFINDER|Exercise QUESTION BANK|21 Videos

  • TRIGONOMETRIC FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|68 Videos

Similar Questions

Explore conceptually related problems

In 0 lt x lt 2pi , the no of solution (s) of the equation sin^3 x + cos^3 x = 0 is

The no. of solution(s) of the equation log_(cosx) sinx + log_(sinx) cosx = 2 in [0 , 2pi] is

The number of solution (s) of the equation sin^4 x + cos^4 x = sinx cosx in [0 , 2pi]

Number of solution(s) of the equation (sinx)/(cos3x)+(sin3x)/(cos9x)+(sin9x)/(cos27x)=0 in the interval (0,pi/4) is____________

The number of solutions of the equation sin^3xcosx+sin^2xcos^2x+sinxcos^3x=1 in the interval [0,2pi] is/are

The number of solutions of the equation sin^3xcosx+sin^2xcos^2x+sinxcos^3x+1=0 in the interval [0, 2pi] is

If 0lt=xlt=2pi, then the number of solutions of 3(sinx+cosx)-2(sin^3x+cos^3x)=8 is

The number of real solutions of the equation (sinx-x)(cosx-x^2)=0 is

cosx - sin3x = cos2x

The number of real solutions of the equation (sinx-x)(cosx-x^(2))=0 is

PATHFINDER-TRIGONOMETRIC EQUATION AND INVERSE-QUESTION BANK
  1. Find the number of solutions of (x , y),which satisfy absy = sin x and...

    Text Solution

    |

  2. If 0lt thetalt 2pi, then the intervals of values of theta for which 2...

    Text Solution

    |

  3. The no. of solution(s) of the equation 3(sinx+cosx)-2(sin^3x+cos^3x)=8...

    Text Solution

    |

  4. The number of all possible ordered pairs (x, y), x, y in R satisfying ...

    Text Solution

    |

  5. Find the general solution of the equation sin 3 alpha = 4 sin alpha si...

    Text Solution

    |

  6. The general solution of the equation 7cos^2x+sinxcosx-3=0 is given by

    Text Solution

    |

  7. The value of tan^-1 1+tan^-1 2+ tan^-1 3 is

    Text Solution

    |

  8. If sin^-1x+sin^-1y=(2pi)/3, then cos^-1x+cos^-1y=

    Text Solution

    |

  9. sincot^-1 costan^-1 2=

    Text Solution

    |

  10. The value of sin^-1(cos(sin^-1x))+cos^-1(sin(cos^-1x)) where absx le 1...

    Text Solution

    |

  11. If sin^-1(sin5) gt x^2-4x, then find number of all possible integer va...

    Text Solution

    |

  12. If tan((alpha pi)/4)=cot((beta pi)/4) then

    Text Solution

    |

  13. The general solution of the equation sin^(100)x-cos^(100)x=1

    Text Solution

    |

  14. The number of roots of the equation x+2tanx=pi/2 in the interval [0, 2...

    Text Solution

    |

  15. The number of solutions of the equation sin((pix)/(2sqrt3))=x^2-2sqrt3...

    Text Solution

    |

  16. One root of the equation cosx-x+1/2=0 lies in the interval

    Text Solution

    |

  17. The nunmber of solution of 2cos^2(x/2)sin^2x=x^2+1/x^2, 0 le x le pi/2...

    Text Solution

    |

  18. The general solution of sin^2thetasectheta+sqrt3 tantheta=0 is

    Text Solution

    |

  19. The number of solutions of the equation sin^3xcosx+sin^2xcos^2x+sinxco...

    Text Solution

    |

  20. Number of values of x in R which satisfy the equation cos(pisqrt(x-4)...

    Text Solution

    |