Home
Class 12
MATHS
If tan beta =(n tan alpha )/(1+(1-n) ta...

If ` tan beta =(n tan alpha )/(1+(1-n) tan^(2) alpha )`, then `tan(alpha-beta)=`

A

`(1+n) tan alpha `

B

`(1-n) tan alpha `

C

`-(1+n) tan alpha `

D

`-(1-n) tan alpha `

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 C ( MULTIPLE AND SUBMULTIPLE ANGLES )|118 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 D ( TRANSFORMATIONS )|94 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 A ( TRIGONOMETRIC FUNCTIONS)|147 Videos

  • TRIGONOMETRIC EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

(tan alpha + tan beta )/( tan (alpha + beta ))+(tan alpha - tan beta )/(tan (alpha - beta )) =

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

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

(sec alpha * sec beta + tan alpha tan beta )^(2)-( sec alpha * tan beta + tan alpha * sec beta )^(2) =

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

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

DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 B ( COMPOUNDS ANGLES )
  1. If cot theta = 8//15 and theta does not lie in the first quadrant , t...

    Text Solution

    |

  2. If 2 tan A + cot A = tan B , then cot A +2 tan (A-B)=

    Text Solution

    |

  3. If tan beta =(n tan alpha )/(1+(1-n) tan^(2) alpha ), then tan(alpha-...

    Text Solution

    |

  4. If x= tan A - tan B , y= cot B- cot A " then " (1)/(x)+(1)/(y)=

    Text Solution

    |

  5. If tan alpha , tan beta are the roots of the equation x^(2) + px+q=...

    Text Solution

    |

  6. If an angle alpha is divided into two parts A and B such that A-B=x ...

    Text Solution

    |

  7. In a DeltaPQR , if 3 sin P+4 cos Q=6 and 4 sin Q+3 cos P=1 , then the...

    Text Solution

    |

  8. If tan beta = 2 sin alpha sin gamma " cosec "(alpha + gamma) , then ...

    Text Solution

    |

  9. cos theta + cos (120^(@) + theta ) + cos (120^(@) - theta )=

    Text Solution

    |

  10. cos theta + cos (240^(@) + theta ) + cos (240^(@)- theta )=

    Text Solution

    |

  11. sin theta + sin (120^(@) + theta ) + sin ( theta - 120^(@))=

    Text Solution

    |

  12. cos theta - cos (60^(@) + theta ) - cos(60^(@) - theta )=

    Text Solution

    |

  13. cos 20^(@) + cos 100^(@) + cos 140^(@) =

    Text Solution

    |

  14. sin 40^(@) - sin 80^(@)+ sin 160^(@)=

    Text Solution

    |

  15. If A+B+C=0 , then tan A+ tan B+ tan C=

    Text Solution

    |

  16. If A+B+C=0 , then cot A cotB + cot B cot C+ cot C cot A =

    Text Solution

    |

  17. If A+C=B then tan A* tan B * tan C=

    Text Solution

    |

  18. If A+B+C = pi //2 , then tanA tanB + tanB tanC+ tan A tan C=

    Text Solution

    |

  19. If A=35^(@) , B= 15^(@) and C=40^(@) , then tan A* tan B+ tan B* tan...

    Text Solution

    |

  20. If ABC are angle of a triangle then prove that cot Acot B+ cot Bcot C+...

    Text Solution

    |