Home
Class 11
MATHS
If 0 le x le 2 pi, then the number of so...

If `0 le x le 2 pi`, then the number of solution of `3 (sin x + cos x) - 2 (sin^(3)x + cos^(3) x) ` = 8 is

A

0

B

1

C

2

D

4

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE-II (More than one correct Answer Types Questions)|4 Videos

  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE-II (Linked Comprehension Type Questions)|2 Videos

  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE-I MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|12 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

If 3 cos x ne 2 sin x , then the general solution of sin^(2) x - cos 2x = 2 - sin 2x is x =

Solve sin 3x + sin x + 2 cos x = sin 2x + 2 cos^(2)x

The number of solutions of cos x = |1 + sin x| , 0 le x le 3 pi is

The number of solutions of sin^(2) x cos^(2) x = 1 + cos^(2) x sin^(4) x in the inverval [0, 2 pi] is

int ( sin^(3)x+cos^(3)x)/(sin^(2)x cos^(2)x)dx=

The number of solution is of the equations 2(sin^(4)2x+cos^(4)2x)+3sin^(2)xcos^(2)x=0 is

The number of solutions of sin^(4)x-cos^(2)xsinx+2sin^(2)x+sinx=0 in 0lexle 3pi is

AAKASH SERIES-TRIGNOMETRIC EQUATIONS-LECTURE SHEET (EXERCISE-II (Straight objectives Types Questions)
  1. Let 0lt theta(1)lt theta(2)lt theta(3)lt …….. Denote the positive solu...

    Text Solution

    |

  2. The number of roots of the equation 16sec^(3)theta-12tan^(2)theta-4sec...

    Text Solution

    |

  3. If 0 le x le 2 pi, then the number of solution of 3 (sin x + cos x) - ...

    Text Solution

    |

  4. The sum of all the solution is of the equation cos theta cos ((pi)/3+t...

    Text Solution

    |

  5. (sin ^(3) theta - cos^(3) theta)/(sin theta - cos theta) - (cos theta)...

    Text Solution

    |

  6. The total number of solutions of cos x=sqrt(1-sin2x) in [0,2pi] is equ...

    Text Solution

    |

  7. The number of values of theta satisfying 4 cos theta + 3 sin theta = 5...

    Text Solution

    |

  8. The number of integral values of 'n' so that sin x (sin x + cos x ) =n...

    Text Solution

    |

  9. The number of pairs of integer (x,y) that satisfy the follownig two eq...

    Text Solution

    |

  10. If tan^(2)(pi(x+y))+cot^(2)(pi)x+y=1+sqrt((2x)/(1+x^(2))) where x,y ar...

    Text Solution

    |

  11. If 2tan^(2)x-5secx=1 for exactly 7 distinct values of x in [0,(npi)/2]...

    Text Solution

    |

  12. For x in (0,pi) the equation sinx+2sin2x-sin3x=3 has

    Text Solution

    |

  13. If 0lexlt2pi then the number of real values of x, which satisy the equ...

    Text Solution

    |

  14. The number of solutions of sec^(2) theta + cosec^(2) theta + 2 cosec^(...

    Text Solution

    |

  15. The number of solution is of the equations 2(sin^(4)2x+cos^(4)2x)+3sin...

    Text Solution

    |

  16. The number of solutions of the equation 1+cosx+cos2x=sinx+sin2x+sin3x=...

    Text Solution

    |

  17. The number of values of theta in the interval (-(pi)/2, (pi)/2) satist...

    Text Solution

    |

  18. Let S={x in (-pi,pi),x!=0+-(pi)/2}. The sum of all distinct solution i...

    Text Solution

    |

  19. Number of solutions to the equation |2e^(sin x) - 3 - e^(2 sin x)|= | ...

    Text Solution

    |

  20. cos(alpha-beta)=1 and cos(alpha+beta)=1//e, where alpha, beta in [-pi,...

    Text Solution

    |