Home
Class 11
MATHS
If A + B = 135^(@) then (TanA.TanB)/((1+...

If A + B = `135^(@)` then `(TanA.TanB)/((1+TanA)(1+TanB))` =

A

0

B

1

C

2

D

`1//2`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COMPOUND ANGLES

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I)|43 Videos
  • COMPOUND ANGLES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - I) LEVEL - I|38 Videos
  • COMPOUND ANGLES

    AAKASH SERIES|Exercise EXERCISE - II|40 Videos
  • CHANGE OF AXES

    AAKASH SERIES|Exercise Practice Exercise|29 Videos
  • CONTINUITY

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|34 Videos

Similar Questions

Explore conceptually related problems

If A+B = 135^(@) then (1-TanA) (1- TanB) =

(TanA+TanB)/(Tan(A+B))+(TanA-TanB)/(Tan(A-B))=

If A+B=135^(@) " then " (1+ cot A ) (1+cot B)=

In Delta^("le")ABC if Cos A CosB CosC=1//3 then TanA Tan B+Tan B Tan C+ Tan C TanA=

If A+B = (pi)/4 , then prove that (1+tanA)(1+tanB) = 2 .

In Dleta ABC if Tan B = (2Sin ASinC)/(Sin(A+C)) then TanA, TanB, TanC are in

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

If Tan A = (17)/(18), TanB = (1)/(35) then Cos (A+B) =

AAKASH SERIES-COMPOUND ANGLES-PRACTICE EXERCISE
  1. (1 - Tan 99^(@)) (1 - Tan36^(@)) =

    Text Solution

    |

  2. (1+Cot78^(@)) (1+Cot57^(@))

    Text Solution

    |

  3. If A + B = 135^(@) then (TanA.TanB)/((1+TanA)(1+TanB)) =

    Text Solution

    |

  4. Tan ((pi)/(4)+theta).Tan((3pi)/(4)+theta)=

    Text Solution

    |

  5. (tan (45^(@) + alpha ) + tan ( 45^(@) - alpha ))/( cot (45^(@) + alpha...

    Text Solution

    |

  6. If tan(pi//4+ theta ) + tan(pi//4- theta )= k sec 2 theta , then th...

    Text Solution

    |

  7. If Tan theta + Cot theta = 3 then Tan^(4)theta+Cot^(4)theta =

    Text Solution

    |

  8. If tan""[(pi)/4 + theta ]+tan[(pi)/(4)- theta ]=a " then " tan^(3)[(pi...

    Text Solution

    |

  9. cos^(2) (A-B)+cos^(2)B-2cos(A-B) cos A cos B =

    Text Solution

    |

  10. If alpha,beta are acute angles, sin alpha = (4)/(5), tan beta = (5)/(1...

    Text Solution

    |

  11. If A,B are acute angle, tan A=5/12 , cos B=3/5 , then cos (A+B)=

    Text Solution

    |

  12. If A, B are acute angles, sin A =4/5 , tan B=5/12 , then sin (A+B)=

    Text Solution

    |

  13. If Tan A = (17)/(18), TanB = (1)/(35) then Cos (A+B) =

    Text Solution

    |

  14. If Tan = (1)/(2), Tan B = (1)/(3) then Tan (A+B) =

    Text Solution

    |

  15. If cos A =-3//5 , sin B=7//25 and 90^(@) lt A lt 180^@,0^(@) lt B lt ...

    Text Solution

    |

  16. If B,A+B are acute angle , sin(A+B)=12/13, sin B=5/13 then sin A =

    Text Solution

    |

  17. If tan (A-B)=7//24 , tan A=4//3 " where " A,B are acute , then A+B=

    Text Solution

    |

  18. If Tan A = (4)/(3), Tan B = (1)/(7) then A - B =

    Text Solution

    |

  19. If 0 lt theta lt pi//2 and 2 sin theta = sqrt(3) cos 10^(@) + sin 10^(...

    Text Solution

    |

  20. If A+B+C=180^(@) " then " sum(cot A + cot B)/(tan A + tan B)=

    Text Solution

    |