Home
Class 12
MATHS
show that: Tan^-1x+tan^-1y = tan^-1(frac...

show that: `Tan^-1x+tan^-1y = tan^-1(frac{x+y}{1-xy})`

Promotional Banner

Topper's Solved these Questions

  • Trignometric Functions

    CHETANA PUBLICATION|Exercise EXERCISE|113 Videos

  • PROBABILITY DISTRIBUTIONS

    CHETANA PUBLICATION|Exercise EXERCISE|108 Videos

Similar Questions

Explore conceptually related problems

Select and write the correct answer from the given alternative in the following:If x gt 0 , y gt 0 and xy<1 then tan^-1x+tan^-1y = .......... A) tan^-1(frac{x+y}{1-xy}) B) tan^-1(frac{x-y}{1+xy}) C) frac{pi}{2} D) pi+tan^-1(frac{x+y}{1-xy})

If abs(x) lt 1 , the prove that 2tan^-1x = tan^-1(frac{2x}{1-x^2}) = sin^-1(frac{2x}{1+x^2}) = cos^-1(frac{1-x^2}{1+x^2})

If x, y, z are positive then prove that tan^-1(frac{x-y}{1+xy})+tan^-1(frac{y-z}{1+yz})+tan^-1(frac{z-x}{1+zx}) = 0

Show that 2sin^-1(frac{3}{5}) = tan^-1(frac{24}{7})

Show that tan^-1(frac{1}{2})-tan^-1(frac{1}{4}) = tan^-1(frac{2}{9})

Show that tan^-1(frac{1}{2}) = frac{1}{3}tan^-1(frac{11}{2})

Prove the following: 2tan^-1(frac{1}{3}) = tan^-1(frac{3}{4})

Show that tan^-1(frac{1}{5})+tan^_1(frac{1}{7})+tan^-1(frac{1}{3})+tan^-1(frac{1}{8}) = frac{pi}{4}

prove that tan^-1(sqrtx) = frac{1}{2}cos^-1(frac{1-x}{1+x}) , if x in [0,1]

Prove the following: tan^-1(frac{67}{19}) = tan^-1(frac{5}{13})+cos^-1(frac{3}{5})

CHETANA PUBLICATION-Trignometric Functions-EXERCISE
  1. Select the correct option from the given alternatives The period of ta...

    Text Solution

    |

  2. Select the correct option from the given alternatives:The number of pr...

    Text Solution

    |

  3. Select the correct option from the given alternatives:The number of pr...

    Text Solution

    |

  4. Select the correct option from the given alternatives: The principal s...

    Text Solution

    |

  5. Select the correct option from the given alternatives: The ratio of th...

    Text Solution

    |

  6. Select the correct option from the given alternatives: cos^-1(-x) =......

    Text Solution

    |

  7. If x gt 0, y gt 0, xy = 1 then tan^-1x+tan^-1y = .... A ) 0 B ) pi C...

    Text Solution

    |

  8. Select the correct option from the given alternatives:cos^-1(cos(frac{...

    Text Solution

    |

  9. Select and write the correct answer from the given alternative in the ...

    Text Solution

    |

  10. Select and write the correct answer from the given alternative in the ...

    Text Solution

    |

  11. Select and write the correct answer from the given alternative in the ...

    Text Solution

    |

  12. Answer the following: Find the principal solution of secx = 2

    Text Solution

    |

  13. Answer the following: If in /\ABC, a=7, A=60^@ then find its circumr...

    Text Solution

    |

  14. Alternative the following: Find the cartesian coordinates of the point...

    Text Solution

    |

  15. Attempt the following: Find the principal solution of tan^-1sqrt3

    Text Solution

    |

  16. Attempt the following: In /\ABC, if a=2, b=3 and c=4 then find cosC

    Text Solution

    |

  17. Attempt the following: Prove that for x gt 0, y gt 0, xy gt 1.

    Text Solution

    |

  18. show that: Tan^-1x+tan^-1y = tan^-1(frac{x+y}{1-xy})

    Text Solution

    |

  19. Attempt the following: Find the general solution of sintheta+sin3theta...

    Text Solution

    |

  20. Attempt the following: In /\ABC, prove that tan(frac{B-C}{2}) = frac{b...

    Text Solution

    |