Home
Class 12
MATHS
If sinB=1/5sin(2A+B), then (tan(A+B))/(t...

If `sinB=1/5sin(2A+B), then (tan(A+B))/(tanA)` is equal to

A

`5//3`

B

`2//3`

C

`3//2`

D

`3//5`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    OBJECTIVE RD SHARMA|Exercise Exercise|190 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

If sin B=(sin(2A+B))/(5) then (tan(A+B))/(tan A)=?

If sin A=nsinB, then (n-1)/(n+1)tan((A+B)/(2)) is equal to

If sinA+sinB=(pi)/(4),then (tanA+1)(tanB+1) is equal to

If A+B+C=pi and sin(A+(C)/(2))=k sin((C)/(2)), then tan((A)/(2))*tan((B)/(2)) is equal to

If sin A = n sin B then (n-1)/(n+1) tan (A+B)/(2) is equal to

If tan A=(1-cosB)/(sinB) , then tan 2A is equal to

If tan A= (1- cos B)/(sin B), then tan 2A is equal to

Given sin B=(1)/(5)*sin(2A+B) then tan(A+B)=k tan A, where k has the value equal to

OBJECTIVE RD SHARMA-TRIGONOMETRIC RATIOS AND IDENTITIES-Chapter Test
  1. If sin beta is the GM between sin alpha and cos alpha, then cos 2beta...

    Text Solution

    |

  2. tan""(2pi)/(5)-tan""(pi)/(15)-sqrt3tan""(2pi)/(5)tan""(pi)/(15) is equ...

    Text Solution

    |

  3. If sinB=1/5sin(2A+B), then (tan(A+B))/(tanA) is equal to

    Text Solution

    |

  4. (sin7theta+6sin5theta+17sin3theta+12sintheta)/(sin6theta+5sin4theta+12...

    Text Solution

    |

  5. If (cos(theta(1)-theta(2)))/(cos(theta(1)+theta(2)))+(cos(theta(3)+the...

    Text Solution

    |

  6. (1+cos56^(@)+cos58^(@) -cos66^(@))/(cos28^(@)cos29^@sin33^(@)) =

    Text Solution

    |

  7. alpha and beta are acute angles and cos2alpha = (3cos2beta-1)/(3-cos2b...

    Text Solution

    |

  8. If cosectheta=(p+q)/(p-q),then cot(pi,//4+theta//2)=

    Text Solution

    |

  9. If sinalpha+sin beta=a and cos alpha+cos beta=b,then sin(alpha+beta)=

    Text Solution

    |

  10. If cos(alpha+beta)=4/5, sin(alpha-beta)=5/13and alpha, beta between 0 ...

    Text Solution

    |

  11. The vlaue of cos^(2)76^(@)+cos^(2)16-cos76^(@)cos16^(@),is

    Text Solution

    |

  12. The value of sum(k=1)^(3) cos^(2)(2k-1)(pi)/(12), is

    Text Solution

    |

  13. If (a^(2)+1)/(2a)=costheta, then (a^(6)+1)/(2a^(3))=

    Text Solution

    |

  14. The value of (1)/(cos290^(@))+(1)/(sqrt3sin250^(@)) is equal to

    Text Solution

    |

  15. If tan alpha=(1+2^(-x))^(-1), tan beta=(1+2^(x+1))^(-1) then alpha+bet...

    Text Solution

    |

  16. A and B are positive acute angles satisfying the equations 3cos^(2)A...

    Text Solution

    |

  17. If T(n)=cos^(n)theta+sin ^(n)theta, then 2T(6)-3T(4)+1=

    Text Solution

    |

  18. The maximum value of 1+8sin^(2)x^(2)cos^(2)x^(2) is

    Text Solution

    |

  19. Let thetain(0,pi//4)and t(1)=(tantheta)^(tantheta), t(2)=(tantheta)^(...

    Text Solution

    |

  20. The expression 3{sin^(6)""((pi)/(2)+alpha)+sin^(6)(5pi-alpha) is equal...

    Text Solution

    |