Home
Class 12
MATHS
If A gt 0, B gt 0 and A + B = pi/3 then ...

If `A gt 0`, `B gt 0` and `A + B = pi/3` then find the maximum value of `tan A *tan B`.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • Circular Functions, Identities

    A DAS GUPTA|Exercise Exercise|300 Videos

  • Circles

    A DAS GUPTA|Exercise EXERCISE|122 Videos

  • COMPLEX NUMBERS

    A DAS GUPTA|Exercise EXERCISE|224 Videos

Similar Questions

Explore conceptually related problems

If A gt 0 ,B gt 0 and A+B= pi/3 ,then the maximum value of tan A tan B , is

If A>0,B>0, and A+B=(pi)/(3) then the maximum value of tan A tan B is

If A>0,B>0 and A+B=(pi)/(6), then the minimum value of tan A+tan B is

If a>0,B>0 and A+B=(pi)/(6), then the minimum value of tan A+tan B is

If A>0,B>0 and A+B=(pi)/(3), the maximum value of tan A tan B is

If A>0,B>0, and A+B=(pi)/(3), then the maximum value of tan A tan B is (1)/(sqrt(3))(b)(1)/(3) (c) 3(d) sqrt(3)

A DAS GUPTA-Circular Functions, Identities -Exercise
  1. Prove that cos pi/15 * cos 2pi/15* cos3pi/15... . . to 7 factors = 1...

    Text Solution

    |

  2. Prove that sin pi/14* sin 3pi/14* sin 5pi/14........... to 7 factors ...

    Text Solution

    |

  3. If A gt 0, B gt 0 and A + B = pi/3 then find the maximum value of tan...

    Text Solution

    |

  4. Find the minimum value of 9tan^(2)theta + 4cot^(2)theta.

    Text Solution

    |

  5. Show that the maximum and minimum values of sqrt(a^(2)cos^(2)theta + ...

    Text Solution

    |

  6. Find the set of possible values of (tan(x + pi/6))/tan x where x is an...

    Text Solution

    |

  7. Prove that for real x, (tan(x+alpha))/(tan(x-alpha)) where alpha ne pi...

    Text Solution

    |

  8. Show that (sec^(2)theta - tan theta)/(sec^(2)+ tan theta) lies betwe...

    Text Solution

    |

  9. Prove that tan alpha + 2tan 2alpha + 4tan 4alpha + 8cot 8alpha = cot ...

    Text Solution

    |

  10. Find the sum: tan x + 1/2 tan (x/2)+ 1/2^(2) tan (x/2^(2)) +.....+1/2...

    Text Solution

    |

  11. Prove that cosec 2theta = cot theta - cot 2theta . Hence or otherwi...

    Text Solution

    |

  12. Prove that sum(r=1)^(9) sin^(2) rpi/18 =5.

    Text Solution

    |

  13. Find sum(r=1)^(10) cos^(3) rpi/3.

    Text Solution

    |

  14. Sum: sqrt(1 + sin 2alpha) + sqrt(1 + sin 4alpha) + sqrt(1 + sin 6alpha...

    Text Solution

    |

  15. Prove that sin^(2) 12^circ + sin^(2)21^circ + sin^(2)39^circ + sin^(2)...

    Text Solution

    |

  16. If A + B + C = pi, prove that cos A cosec B cosec C + cos B cosec C c...

    Text Solution

    |

  17. Prove that in a triangle ABC, sin^(2)A - sin^(2)B + sin^(2)C = 2sin A...

    Text Solution

    |

  18. Prove that in a triangle ABC, sum (cot B+ cotC)/(tan B + tan C) =1.

    Text Solution

    |

  19. If A + B + C + D = 2pi, prove that: cos A + cos B + cos C + cos D =...

    Text Solution

    |

  20. If alpha + beta- gamma= pi, prove that sin^(2)alpha + sin^(2)beta - s...

    Text Solution

    |