Home
Class 11
MATHS
If tan ( alpha + beta) = sqrt(3), tan ( ...

If `tan ( alpha + beta) = sqrt(3), tan ( alpha - beta ) =1` then `tan 6 beta = `

A

-1

B

0

C

1

D

2

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMERTIC RATIOS

    AAKASH SERIES|Exercise EXERCISE- II|52 Videos
  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIONS)|2 Videos
  • TRIGONOMETRIC EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|49 Videos

Similar Questions

Explore conceptually related problems

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

(1+tan alpha tan beta)^(2) + (tan alpha -tan beta)^(2) =

If tan A = tan alpha tanh beta , tan B = cot alpha tanh beta , then tan (A + B) =

If 0 lt alpha , beta lt pi//4, cos ( alpha + beta )=4//5 , sin (alpha - beta) =5//13 " then " tan 2alpha =

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

If tan alpha - tan beta =m and cot alpha - cot beta =n , then prove that cot ( alpha - beta )= (1)/(m)- (1)/(n)

AAKASH SERIES-TRIGONOMERTIC RATIOS-PRACTICE EXERCISE
  1. If cot theta + tan theta = 2 then cot^(n) theta + tan^(n) theta =

    Text Solution

    |

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

    Text Solution

    |

  3. If tan ( alpha + beta) = sqrt(3), tan ( alpha - beta ) =1 then tan 6 ...

    Text Solution

    |

  4. If n is even then sin theta + sin ( pi + theta ) + sin (2 pi + theta) ...

    Text Solution

    |

  5. sin 10^(@) + sin 20^(@) + sin30^(@) + .......sin 360^(@)=

    Text Solution

    |

  6. cos 20^(@) + cos 40^(@) + cos 60^(@) +...+cos160^(@)+cos 180^(@)=

    Text Solution

    |

  7. cos5^(@) + cos 24^(@) + cos 175^(@) + cos 204^(@) + cos 300^(@) =

    Text Solution

    |

  8. cos. (pi)/(13) + cos. (5pi)/(13) + cos. (8pi)/(13) + cos. (12pi)/(13)=

    Text Solution

    |

  9. cos. (3pi)/(19) + cos . (7pi)/(19) + cos. (12pi)/(19) + cos. (16pi)/(1...

    Text Solution

    |

  10. tan. (pi)/(10) + tan. (3pi)/(10) + tan. (7pi)/(10) + tan. (9pi)/(10) ...

    Text Solution

    |

  11. If alpha , beta are supplementary angles , then cos^(2)alpha + sin^(...

    Text Solution

    |

  12. If ABCD is a quadrilateral then Sec^(2) ((A+B)/(4))- Cot^(2) ((C+D)/(...

    Text Solution

    |

  13. If ABCD is a cyclic quadrilateral then co (180^(@) +A) + cos (180^(@)...

    Text Solution

    |

  14. If alpha , beta are complementary angles , sin alpha = 3//5 , then s...

    Text Solution

    |

  15. Prove that sin^(2)5^(@) +sin^(2)10^(@) + sin^(2)15^(@)+...+sin^(2)90^(...

    Text Solution

    |

  16. cos^(2)5^(@)+cos^(2)10^(@)+cos^(2)15^(@)+.....+cos^(2) 90^(@)=

    Text Solution

    |

  17. cos^(@)cos2^(@)cos3^(@).......cos179^(@)=

    Text Solution

    |

  18. tan10^(@) tan 20^(@) tan 30^(@) tan 40^(@) tan 50^(@) tan 60^(@) tan 7...

    Text Solution

    |

  19. [(Tan ( pi - x) Tan (1.5 pi + x))/(Cos^(2)(x-1.5pi))-(Cos(1.5pi + x))/...

    Text Solution

    |

  20. If cos A = 3/4 then (2cos A + 3 sin A)/(4 cos A - sin A) =

    Text Solution

    |