Home
Class 12
MATHS
If t a nbeta=(nsinalphacosalpha)/(1-nsin...

If `t a nbeta=(nsinalphacosalpha)/(1-nsin^2alpha)` , show that `tan(alpha-beta)=(1-n)t a nalphadot`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If tan beta=(n sin alpha cos alpha)/(1-n sin^(2)alpha), show that tan(alpha-beta)=(1-n)tan alpha

If tan beta=(n sin alpha cos alpha)/(1-n sin^(2)alpha), show that tan(alpha-beta)=(1-n)tan alpha

if tan beta=(n sin alpha cos beta)/(1-n sin^(2)alpha) then prove that tan(alpha-beta)=(1-n)tan alpha

if tan beta=(n sin alpha cos beta)/(1-n sin^(2)alpha) then prove that tan(alpha-beta)=(1-n)tan alpha

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

If sin2 alpha=4sin2 beta, show that 5tan(alpha+beta)=3tan(alpha+beta)

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

If tan alpha=x+1,tan beta=x-1, show that 2cot(alpha-beta)=x^(2)

If tan alpha=x+1,tan beta=x-1, show that 2cot(alpha-beta)=x^(2)

RESONANCE DPP-JEE MAINS-All Questions
  1. Of the members of three athletic teams in a certain school, 21 are in ...

    Text Solution

    |

  2. the sum of the radii of inscribed and circumscribed circle of an n sid...

    Text Solution

    |

  3. If t a nbeta=(nsinalphacosalpha)/(1-nsin^2alpha) , show that tan(alph...

    Text Solution

    |

  4. Maximum possible area that can be enclosed by a wire of length 20 cm b...

    Text Solution

    |

  5. The A D ,B Ea n dC F are the medians of a c A B C , then (A D^2+B E^2+...

    Text Solution

    |

  6. Let P Q R be a triangle of area with a=2,b=7/2,a n dc=5/2, w h e r ...

    Text Solution

    |

  7. Find the equation of a straight lines which passes through the point (...

    Text Solution

    |

  8. If f(x)=|ln|x||, then (a)f(x) is continuous and differentiable f...

    Text Solution

    |

  9. Let A B C be a triangle such that /A C B=pi/6 and let a , ba n dc deno...

    Text Solution

    |

  10. The total number of ways of selecting two numbers from the set {1,2...

    Text Solution

    |

  11. If f(x)={3+|x-k|,xlt=k a^2-2+(s n(x-k))/(x-k),x > k has minimum at x=k...

    Text Solution

    |

  12. If chocolates of a particular brand are all identical then the number ...

    Text Solution

    |

  13. The maximum value of function f(x)=x^3-12 x^2+36 x+17 in the interval ...

    Text Solution

    |

  14. One angle of an isosceles triangle is 120^0 and the radius of its incr...

    Text Solution

    |

  15. Number of ways in which 7 people can occupy six seats, 3 seats on each...

    Text Solution

    |

  16. If by dropping a stone in a quiet lake a wave moves in circle at a ...

    Text Solution

    |

  17. Consider 8 vertices of a regular octagon and its centre. If T denotes ...

    Text Solution

    |

  18. Number of ways in which four different toys and five indistinguishable...

    Text Solution

    |

  19. Statement 1: f(x)=cos x is continous at x=0a n dg(x)=[tanx],"w h e r e...

    Text Solution

    |

  20. We wish to select 6 persons from 8, but if the person A is chosen, the...

    Text Solution

    |