Home
Class 12
MATHS
Select the correct option from the given...

Select the correct option from the given alternatives: `2tan^-1(frac{1}{3})+tan^-1(frac{1}{7}) = ` A) `tan^-1(frac{4}{5})` B) `frac{pi}{2}` C) 1 D) `frac{pi}{4}`

A

`tan^-1(frac{4}{5})`

B

`frac{pi}{2}`

C

1

D

`frac{pi}{4}`

Text Solution

Verified by Experts

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 the correct option from the given alternatives: tan(2tan^-1(frac{1}{5})-frac{pi}{4})

Select the correct option from the given alternatives: cos[tan^-1(frac{1}{3})+tan^-1(frac{1}{2})] = A) frac{1}{sqrt2} B) frac{sqrt3}{2} C) frac{1}{2} D) frac{pi}{4}

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

Show that cot^-1(frac{1}{3})-tan^-1(frac{1}{3}) = cot^-1(frac{3}{4})

Prove the following: 2tan^-1(frac{1}{2})+tan^-1(frac{1}{7}) = tan^-1(frac{31}{17})

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

Select the correct option from the given alternatives: If tan^-1(2x)+tan^-1(3x) = frac{pi}{4} , then x = A) -1 B) frac{1}{6} C) frac{2}{6} D) frac{3}{2}

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

Select the correct option from the given alternatives: The principal value of sin^-1(frac{-sqrt3}{2}) is A) -frac{2pi}{3} B) frac{4pi}{3} C) frac{5pi}{3} D) -frac{pi}{3}

Select the correct option from the given alternatives: cos^-1(cos(frac{7pi}{6})) = ..... A) frac{7pi}{6} B) frac{5pi}{6} C) frac{pi}{6} D) frac{3pi}{2}

CHETANA PUBLICATION-Trignometric Functions-EXERCISE
  1. If sin^-1(frac{4}{5})+cos^-1(frac{12}{13}) = sin^-1alpha , then alpha...

    Text Solution

    |

  2. Select the correct option from the given alternatives: If tan^-1(2x)+t...

    Text Solution

    |

  3. Select the correct option from the given alternatives: 2tan^-1(frac{1}...

    Text Solution

    |

  4. Select the correct option from the given alternatives: tan(2tan^-1(fra...

    Text Solution

    |

  5. Select the correct option from the given alternatives: The principal v...

    Text Solution

    |

  6. Select the correct option from the given alternatives: cos[tan^-1(frac...

    Text Solution

    |

  7. If tan theta+tan 2theta+tan 3theta = tantheta tan 2theta tan 3theta th...

    Text Solution

    |

  8. Select the correct option from the given alternatives: If any /\ABC, i...

    Text Solution

    |

  9. Select the correct option from the given alternatives: A trigonometric...

    Text Solution

    |

  10. Select the correct option from the given alternatives The period of co...

    Text Solution

    |

  11. Select the correct option from the given alternatives The period of ta...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |