Home
Class 12
MATHS
If 3 sin beta = sin(2alpha +beta), then ...

If `3 sin beta = sin(2alpha +beta)`, then
`tan (alpha+beta)-2 tan alpha` is

A

independent of `alpha`

B

independent of `beta`

C

independent of both `alpha and beta`

D

independent of none of them

Text Solution

Verified by Experts

The correct Answer is:
c
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 2 Single Correct Answer Type Questions) |32 Videos

  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (Numerical Answer Type Questions) |26 Videos

  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos

  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|25 Videos

  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|20 Videos

Similar Questions

Explore conceptually related problems

If 3sin beta=sin(2 alpha+beta) then tan(alpha+beta)-2tan alpha is (a)independent of alpha (bindependent of beta (c)dependent of both alpha and beta( d)independent of both alpha and beta

If sin beta = 1/5 sin(2alpha +beta) , show that tan(alpha +beta) = 3/2 tan alpha .

If sin (alpha + beta)=1, sin (alpha- beta)= (1)/(2) , then tan (alpha + 2beta) tan (2alpha + beta) =

If sin(alpha+beta)=1,sin(alpha-beta)=(1)/(2) then tan(alpha+2 beta)tan(2 alpha+beta)=

consider 3 sin beta =sin(2alpha+beta). Let K be the value of tan(alpha+beta)/(tan alpha)and W the value of the product (cot alpha+cot(alpha+beta))*(cot beta-3 cot(2 alpha +beta)). Find the value of K W.

If 2tan alpha=3tan beta then tan(alpha-beta)=

If 5sin alpha=3sin(alpha+2 beta)!=0, then tan(alpha+beta) is equal to

If tan(2alpha+beta)=x & tan(alpha+2beta)=y , then [ tan3(alpha+beta)]. [ tan(alpha-beta)] is equal to (wherever defined)

If 5sin alpha=3(alpha+2 beta)!=0, then tan(alpha+beta) is equal to

MCGROW HILL PUBLICATION-TRIGONOMETRICAL IDENTITIES AND EQUATIONS -SOLVED EXAMPLES (LEVEL 1 Single Correct Answer Type Questions)
  1. If sin32^(@)=k and cos x=1-2k^(2), alpha, beta are the values of x bet...

    Text Solution

    |

  2. The minimum value of 27tan^(2)theta+3cot^(2)theta is

    Text Solution

    |

  3. If 3 sin beta = sin(2alpha +beta), then tan (alpha+beta)-2 tan alph...

    Text Solution

    |

  4. If A = sin^2 theta+ cos^4 theta, then for all real values of theta

    Text Solution

    |

  5. If u=sqrt(a^(2)cos^(2)theta+b^(2)sin^(2)theta)+sqrt(a^(2)sin^(2)theta+...

    Text Solution

    |

  6. |(sin^(2)x, cos^(2)x, 1),(cos^(2)x, sin^(2)x,1),(-10,12,2)| is equal t...

    Text Solution

    |

  7. If (cosA)/(3)=(cosB)/(4)=(1)/(5), -pi//2 lt A, B lt 0, the value of 2s...

    Text Solution

    |

  8. If sinA=3sin(A+2B), angle B is acute and A is obtuse, then

    Text Solution

    |

  9. The value of cos^(2)((3pi)/(5))+cos^(2)((4pi)/(5)) is equal to

    Text Solution

    |

  10. The value of cos12^(@)+cos84^(@)+cos156^(@)+cos132^(@) is

    Text Solution

    |

  11. Let Delta=|(1,sin theta, 1),(-sin theta,1,sin theta),(-1,-sin theta,1)...

    Text Solution

    |

  12. If sin(120^(@)-alpha)=sin(120^(@)-beta) and 0 lt alpha, beta lt pi, th...

    Text Solution

    |

  13. If sin theta+"cosec"theta=2, then sin^(n) theta+"cosec"^(n)theta is eq...

    Text Solution

    |

  14. If a=cos phi cos psi -sin phi sin psi cos delta b=cos phi sin psi-si...

    Text Solution

    |

  15. In a triangle ABC, BP is drawn perpendicular to BC to meet CA in P, su...

    Text Solution

    |

  16. If cos theta=cos alpha cos beta, then "tan"(theta+alpha)/(2)"tan"(thet...

    Text Solution

    |

  17. The equation a sin x +b cos x =c, where |c| gt sqrt(a^(2)+b^(2)) has

    Text Solution

    |

  18. If cot alpha equals the integral solution of the inequality 4x^(2)-16x...

    Text Solution

    |

  19. The value of "cos"(2pi)/(7)+"cos"(4pi)/(7)+"cos"(6pi)/(7)+"cos"(7pi)/(...

    Text Solution

    |

  20. The greatest value of f(x)=2sinx+sin2x on [0, 3pi//2], is given by

    Text Solution

    |