Home
Class 12
MATHS
Number of solutions of the equation sin^...

Number of solutions of the equation `sin^(4) x-cos^(2)x sin x + 2 sin^(2) x+sin x=0` in `0 le x le 3pi` is ________.

A

Number of solution of the equation is 4

B

Sum of the solution of the equation is `6pi`

C

Product of the solution of the equation is 0

D

`2pi` is not the solution

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE ENGLISH|Exercise High Level Problem|26 Videos
  • EQUATIONS

    RESONANCE ENGLISH|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |5 Videos

Similar Questions

Explore conceptually related problems

The number of solution of sin^(4)x-cos^(2) x sin x+2 sin^(2)x+sin x=0 in 0 le x le 3 pi is

The number of solution of sin^(4)x-cos^(2) x sin x+2 sin^(2)x+sin x=0 in 0 le x le 3 pi is

Number of solutions of the equation sin x + cos x-2sqrt(2) sin x cos x=0 for x in [0, pi] is

Number of solutions of the equation cos^(4) 2x+2 sin^(2) 2x =17 (cos x + sin x)^(8), 0 lt x lt 2 pi is

Number of solutions of the equation 2 sin^3x + 6 sin^2x -sin x-3=0 in (0, 2pi), are

The number of real solution of the equation sqrt(1 + cos 2x) = sqrt2 sin^(-1) (sin x), -pi le x le pi , is

The number of real solution of the equation sqrt(1 + cos 2x) = sqrt2 sin^(-1) (sin x), -pi le x le pi , is

The total number of solution of the equation sin^4 x +cos^4 x = sin x cos x in [0,2pi] is :

The solution of the equation "cos"^(2) x-2 "cos" x = 4 "sin" x - "sin" 2x (0 le x le pi) , is

Number of solutions of equation 2"sin" x/2 cos^(2) x-2 "sin" x/2 sin^(2) x=cos^(2) x-sin^(2) x for x in [0, 4pi] is

RESONANCE ENGLISH-DPP-QUESTION
  1. Sum of all the solutions of the equation : tan^2 33x = cos2x - 1 which...

    Text Solution

    |

  2. Consider the cubic equation x^(3)-(1+ cos theta+sin theta)x^(2)+(cos t...

    Text Solution

    |

  3. Number of solutions of the equation sin^(4) x-cos^(2)x sin x + 2 sin^(...

    Text Solution

    |

  4. If sintheta+sinphi=aand costheta+ cosphi =b, then

    Text Solution

    |

  5. If sin theta+cos theta=1/5and 0ltthetalt2pi,then tan thetais

    Text Solution

    |

  6. If 0 le x, y le 180^(@) and sin(x-y)=cos (x+y)=1/2, then the values of...

    Text Solution

    |

  7. If tan x + tan 2x + tan 3x = 0 then which of the following can hold go...

    Text Solution

    |

  8. Along a road lies an odd number of stones placed at intervals of 10 m....

    Text Solution

    |

  9. First, second and sevents terms of an A.P. (all the terms are distinct...

    Text Solution

    |

  10. If the sum of the first 2n terms of the A.P. 2, 5, 8, ..., is equal to...

    Text Solution

    |

  11. Find the sum of integers from 1 to 100 that are divisible by 2 or 5...

    Text Solution

    |

  12. Sum of an infinite G.P. is 5/4 times the sum of all the odd terms. The...

    Text Solution

    |

  13. Sum of an infinitely manu terms of a G.P. is 3 times the sum of even t...

    Text Solution

    |

  14. Given x in (-1,0)uu(0,1)and f(x)= sum(n=0)^(oo) x^(n)(-1)^(n(n+1)/(2))...

    Text Solution

    |

  15. Find the value of cos""(pi)/(12)(sin""(5pi)/(12)+cos""(pi)/(4))+sin"...

    Text Solution

    |

  16. If A and B are two sets, then Ann(bar(AuuB)) is equal to :

    Text Solution

    |

  17. A survey shows that 63% of the people watch a news channel whereas ...

    Text Solution

    |

  18. If cos(alpha+beta)=0 then sin(alpha+2beta)=

    Text Solution

    |

  19. Two infinite sets have m and n elements. The number of subsets of t...

    Text Solution

    |

  20. In a certain town, 25% families own a phone and 15% own a car, 65% fam...

    Text Solution

    |