Home
Class 12
MATHS
If xsina+ysin2a+zsin3a=sin4a xsinb+ysin...

If `xsina+ysin2a+zsin3a=sin4a` `xsinb+ysin2b+zsin3b=sin4b`, `xsinc+ysin2c+zsin3c=sin4c`, then the roots of the equation `t^3-(z/2)t^2-((y+2)/4)t+((z-x)/8)=0,a , b , c ,!=npi,` are (a)`sina ,sinb ,sinc` (b) `cosa ,cosb ,cosc` (c)`sin2a ,sin2b ,sin2c` (d) `cos2a ,cos2bcos2c`

A

sin a , sin b , sin c

B

cos a, cos b , cos c

C

sin 2a , sin 2b , sin 2c

D

cos 2a , cos 2b , cos 2c

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|25 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Passage Based Questions)|13 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 4|8 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS ENGLISH|Exercise Three Dimensional Coordinate System Exercise 12 : Question Asked in Previous Years Exam|2 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|19 Videos

Similar Questions

Explore conceptually related problems

If xsina+ysin2a+zsin3a=sin4a xsinb+ysin2b+zsin3b=sin4b xsinc+ysin2c+zsin3c=sin4c then the roots of the equation t^3-(z/2)t^2-((y+2)/4)t+((z-x)/8)=0,a , b , c ,!=npi, are sina ,sinb ,sinc (b) cosa ,cosb ,cosc sin2a ,sin2b ,sin2c (d) cos2a ,cos2bcos2c

Solve the system: x sin a + y sin 2a + z sin 3a = sin 4a x sin b + y sin 2b + z sin 3b = sin 4b x sin c + y sin 2c + z sin 3c = sin 4c

If A+B+C=pi/2 , prove that: sin2A + sin2B+sin2C = 4cosA cosB cosC

If A+B+C=pi , prove that : sin2A+sin2B+sin2C=4sinA sinB sinC

Prove that sin2A + sin2B + sin2C = 4sinA · sinB · sin C

(sin2A+sin2B+sin2C)/(sinA+sinB +sinC) is equal to

Prove that : (sin 2A+sin 2B + sin 2C)/(cos A + cos B + cos C-1) = 8 cos(A/2) cos( B/2) cos( C/2)

In DeltaABC ,prove that: a) sin2A + sin2B-sin2C=4cosA cosB sinC

In DeltaABC ,prove that: sin2A + sin2B-sin2C=4cosA cosB sinC

If A+B+C=180^0 , prove that : sin^2 A + sin^2 B + sin^2 C =2 (1+cosA cosB cosC)

ARIHANT MATHS ENGLISH-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise (Single Option Correct Type Questions)
  1. Let the smallest positive value of x for which the function f(x)=sin"...

    Text Solution

    |

  2. The number of solutions of the equation 16(sin^(5)x +cos^(5)x)=11(sin ...

    Text Solution

    |

  3. If xsina+ysin2a+zsin3a=sin4a xsinb+ysin2b+zsin3b=sin4b, xsinc+ysin2c...

    Text Solution

    |

  4. Find the least positive value of x satisfying (sin^2 2x+4sin^4x-4sin^...

    Text Solution

    |

  5. The maximum value of the expression |sqrt(sin^2x+2a^2)-sqrt(2a^2-1-...

    Text Solution

    |

  6. The general solution of 8 tan^(2)""(x)/(2)=1+ sec x is

    Text Solution

    |

  7. General solution of tan theta+tan 4 theta+tan 7 theta=tan theta tan 4 ...

    Text Solution

    |

  8. Find the number of solution of the equation e^(sinx)-e^(-sinx)-4=0

    Text Solution

    |

  9. Find the number of solution(s) of the equation cos (pi sqrt(x)) cos ...

    Text Solution

    |

  10. The number of real solution of equation Sin(e^x) = 5^x + 5^(-x) is :

    Text Solution

    |

  11. about to only mathematics

    Text Solution

    |

  12. Let 2 sin^(2)x + 3 sin x -2 gt 0 and x^(2)-x -2 lt 0 ( x is measured ...

    Text Solution

    |

  13. The number of points of intersection of two curves y=2sinxa n dy=5x^2+...

    Text Solution

    |

  14. The number of all the possible triplets (a1,a2,a3) such that a1+a2cos(...

    Text Solution

    |

  15. Find dy/dx if 2x+3y=sinx

    Text Solution

    |

  16. In the interval [-pi/2,pi/2] the equation log(sin theta)(cos 2 theta)=...

    Text Solution

    |

  17. If sum(i=1)^(n) cos theta(i)=n, then the value of sum(i=1)^(n) sin the...

    Text Solution

    |

  18. If (sin alpha)^(x)+(cos alpha)^(x) ge 1,0 lt a lt (pi)/(2) then

    Text Solution

    |

  19. The most general values of 'x' for which sin x + cos x ="min"(a in R)...

    Text Solution

    |

  20. Find dy/dx if 2x+3y= siny

    Text Solution

    |