Home
Class 11
MATHS
If A,B,C are acute angles , tan A=1/2 , ...

If A,B,C are acute angles , `tan A=1/2 , tan B=1//5 , tan C=1//8 , " then " A+B+C=`

A

`(pi)/(12)`

B

`(pi)/(6)`

C

`(pi)/(4)`

D

`(pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • COMPOUND ANGLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|46 Videos

  • COMPOUND ANGLES

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

  • COMPOUND ANGLES

    AAKASH SERIES|Exercise EXERCISE - I|28 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 are acute angle , tan A=(n)/(n+1), tan B=(1)/(2n+1), " then " A+B=

In Delta ABC , tan A + tan B+ tan C=

If A+C=B then tan A* tan B * tan C=

In Delta ABC, tan 2A+ tan 2B+ tan 2C=

If A,B,C are qcute angles such that sin(B+C-A)=cos(C+A-B)=tan(A+B-C)=1 then (A,B,C)=

If A, B, C are in A.P and and B=(pi)/(4) then tan A tan B tan C =

In Delta ABC, if tanA: tan B: tan C=1:2:3 , then sin A: sin B: sin C =

If A, B, C, D be the angle of a quadrilateral, then (tan A + tan B + tan C + tan D)/( cot A + cot B + cot C + cot D) =

If A+B+C=0 , then tan A+ tan B+ tan C=

If A, B,C are angles of a acute angled triangle then the least value of tan A tan B tan C is

AAKASH SERIES-COMPOUND ANGLES-EXERCISE - II
  1. If 0 lt alpha , beta lt pi//4, cos ( alpha + beta )=4//5 , sin (alpha...

    Text Solution

    |

  2. If x= tan A - tan B , y= cot B- cot A " then " (1)/(x)+(1)/(y)=

    Text Solution

    |

  3. If A,B,C are acute angles , tan A=1/2 , tan B=1//5 , tan C=1//8 , " th...

    Text Solution

    |

  4. The value of ( sin theta )/( sin^(2) (pi//8 + theta //2)-sin^(2)(pi//8...

    Text Solution

    |

  5. 2(cos^(2) 73^(0) +cos^(2)47^(0)) - cos 154^(0) =

    Text Solution

    |

  6. If Tan40^(@) + 2 Tan 10^(@) = Cotx then x =

    Text Solution

    |

  7. If A+B+C= 360^(@) " then " cot""(A)/(4)+ cot ""(B)/(4) + cot ""(C)/(4)...

    Text Solution

    |

  8. Tan (A-B) + Tan (B-C) + Tan (C-A)

    Text Solution

    |

  9. If A+B+C=(pi)/2, " then " sum (cos (B+C))/(cos B cos C)=

    Text Solution

    |

  10. If alpha + beta + lambda = (pi)/(2) and cot alpha, cot beta, cot lamb...

    Text Solution

    |

  11. If Sin x Cosy = 1/4 and 3Tanx = 4 Tany then Sin (x - y) =

    Text Solution

    |

  12. If Cot A Cot B = 2 & Cos (A+B) = 3/5 then Sin A Sin B

    Text Solution

    |

  13. If cos (A-B)=3//5 and tan A tan B=2 , then which one of the following...

    Text Solution

    |

  14. Prove that sin^(2)alpha + cos^(2) (alpha + beta) + 2 sin alpha sin bet...

    Text Solution

    |

  15. sin A + sin B = sqrt(3) ( cos B- cos A )implies sin 3A + sin 3B=

    Text Solution

    |

  16. If (CosA)/(CosB)=nand(SinA)/(SinB)=m then (m^(2) - n^(2)) Sin^(2) B =

    Text Solution

    |

  17. If tan A=(x sin B)/(1- x cos B) and tan B=(y sin A)/(1-y cos A) then ...

    Text Solution

    |

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

    Text Solution

    |

  19. If sin (120^(@) - alpha) = sin (120^(@) - beta) and 0 lt alpha,beta lt...

    Text Solution

    |

  20. If 2 tan A + cot A = tan B , then cot A +2 tan (A-B)=

    Text Solution

    |