Home
Class 14
MATHS
If sin(alpha+beta)=(4)/(5), sin(alpha-be...

If `sin(alpha+beta)=(4)/(5), sin(alpha-beta)=(5)/(13)`, find the value of `tan 2alpha`:

A

16/36

B

63/16

C

36/16

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TIME, SPEED AND DISTANCE

    QUANTUM CAT|Exercise QUESTION BANK|368 Videos

Similar Questions

Explore conceptually related problems

cos(alpha-beta)=(3)/(5),sin(alpha+beta)=(5)/(13) then tan2 alpha

If cos(alpha+beta)=(5)/(13) and cos(alpha-beta)=(4)/(5) then find the value of tan2 beta

If cos(alpha+beta)=(4)/(5) and sin(alpha-beta)=(5)/(13) and alpha, beta lie between 0^(@) and 45^(@) , find the value of tan 2alpha :

If cos(alpha+beta)=(4)/(5);sin(alpha-beta)=(5)/(13) and alpha,beta lie between 0&(pi)/(4) then find the value of tan2 alpha

If cos(alpha+beta)=(4)/(5) and sin(alpha-beta)=(5)/(13) , where alpha lie between 0 and (pi)/(4) , then find that value of tan2alpha .

If sin(alpha+beta)=1 and sin(alpha-beta)=(1)/(2), where 0<=,beta<=(pi)/(2) ,then find the values of tan(alpha+2 beta) and tan(2 alpha+beta)

QUANTUM CAT-TRIGONOMETRY-QUESTION BANK
  1. cos20^(@).cos40^(@).cos60^(@).cos80^(@) is :

    Text Solution

    |

  2. What is the value of , (sin(90^@-theta)sec(180^@-theta)sin(-theta))/...

    Text Solution

    |

  3. If sin(alpha+beta)=(4)/(5), sin(alpha-beta)=(5)/(13), find the value o...

    Text Solution

    |

  4. Find the value of (cos2B-cos 2A)/(sin2A+sin2B):

    Text Solution

    |

  5. (sinA+sin3A+sin5A+sin7A)/(cosA+cos3A+cos5A+cos7A) is :

    Text Solution

    |

  6. If costheta=3/5, find the value of sin2theta :

    Text Solution

    |

  7. find the value of expression (sin2x)/(1+cos2x) is:

    Text Solution

    |

  8. find the value of the following expression cos^4theta-sin^4theta is :

    Text Solution

    |

  9. If cotx=(a)/(b), find the value of a cos2x+b sin 2x

    Text Solution

    |

  10. Find the value of cot3theta:

    Text Solution

    |

  11. Find the value of sin(22 1/2)^@ :

    Text Solution

    |

  12. If 2 cos theta=x+(1)/(x), find the value of 2cos 3 theta

    Text Solution

    |

  13. Find the value of tanA+tanB+tanC, if A+B+C=pi:

    Text Solution

    |

  14. If cos B=(sinA)/(2sinC), find the nature of triangle :

    Text Solution

    |

  15. If the angles of a triangle are in the ratio 1:2:3 and its circumradiu...

    Text Solution

    |

  16. If a=1, b=sqrt3 and angleA=30^(@), find the value of the angle B:

    Text Solution

    |

  17. Find B and C of a triangle ABC, if b = 2 cm, c = 1 cm and A=60^(@).

    Text Solution

    |

  18. In a triangle ABC, a=1cm, b=sqrt3 and C=(pi)/(6), find the third side ...

    Text Solution

    |

  19. If the angles of a triangle are in the ratio 1:2:3, find the ratio bet...

    Text Solution

    |

  20. If a=2b and A=3B, find the angles A, B, C of DeltaABC :

    Text Solution

    |