Home
Class 12
MATHS
tanA +tanB + tanC = tanA tanB tanC if...

`tanA +tanB + tanC = tanA tanB tanC` if

A

A,B,C must be angles of a triangle

B

The sum of any two of A,B,C is equal to third

C

`A+B+C` must be integral multiple of `pi`.

D

`A+B+C` must be odd integral multiple of `pi`.

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section-C (Objective Type Questions More than one options are correct )|45 Videos
  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Section D (Linked Comprehension Type Questions)|24 Videos
  • TRIGNOMETRIC FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment Section-B (Objective Type Questions (One option is correct))|1 Videos
  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - J|10 Videos
  • VECTOR ALGEBRA

    AAKASH INSTITUTE|Exercise SECTION-J (Aakash Challengers Questions)|5 Videos

Similar Questions

Explore conceptually related problems

Statement-1: In an acute angled triangle minimum value of tan alpha + tanbeta + tan gamma is 3sqrt(3) . And Statement-2: If a,b,c are three positive real numbers then (a+b+c)/3 ge sqrt(abc) into in a triangleABC , tanA+ tanB + tanC= tanA. tanB.tanC

If A+B+C=npi (n being an integer). Show that tanA+tanB+tanC=tanA tanB tanC .

In a DeltaABC , prove that : tanA+tanB+tanC= tanA tanB tanC

In DeltaABC , tanA+tanB+tanC=tanAtanBtanC

In a triangle ABC, tanA + tanB + tanC = 9. If tan^2 A+ tan^2 B + tan^2 C= k then the least value of k^(9/7) is

If tanA+tanB+tanC=tanA.tanB.tanC , then-

If A+B+C=pi , show that : tanA+tanB+tanC=tanA.tanB.tanC Hence. Deduce the value of : cotA.cotB+cotB.tanC+cotC.cotA

In DeltaABC, if tanA+tanB+tanC=6 and tanA.tanB=2 then tanC= . .

If A+B+C= pi/2 , show that : tanA tanB + tanB tanC + tanC tanA=1

If A+B+C=180^(@) , then (tanA+tanB+tanC)/(tanAtanBtanC)=?

AAKASH INSTITUTE-TRIGNOMETRIC FUNCTIONS -Section-B (Objective Type Questions One option is correct)
  1. The value of cos(pi/4)*cos(pi/8)*cos(pi/16)cos(pi/(2^n)) equals

    Text Solution

    |

  2. tan alpha + 2 tan 2alpha + 4 tan 4 alpha + 8 cot 8 alpha =

    Text Solution

    |

  3. tanA +tanB + tanC = tanA tanB tanC if

    Text Solution

    |

  4. The value of sin pi/n + sin (3pi)/n+ sin (5pi)/n+... to n terms is equ...

    Text Solution

    |

  5. underset(r=1)overset(n-1)(sum)cos^(2)""(rpi)/(n) is equal to

    Text Solution

    |

  6. If tantheta+tan(theta+pi/3)+tan(theta-pi/3)=ktan3theta then k is equal...

    Text Solution

    |

  7. The value of sin (pi/14). sin((3pi)/14). sin( (5pi)/14)………. Sin ((13pi...

    Text Solution

    |

  8. In triangle A B C ,tanA+tanB+tanC=6a n dtanAtanB=2, then the values of...

    Text Solution

    |

  9. let a=cosA+cosb-cos(A+B) and b=4sin(A/2)sin(B/2)cos((A+B)/2) Then a-b ...

    Text Solution

    |

  10. The value of tan^6(15^@)-15tan^4(15^@)+15tan^2(15^@)-3 is

    Text Solution

    |

  11. If A, B, C are in A.P., then correct relation is cotA=(sinB+sinC)/(co...

    Text Solution

    |

  12. cos(pi/14)+cos((3pi)/14)+cos((5pi)/14)=kcot(pi/14) then k is equal t...

    Text Solution

    |

  13. The minimum value of 8(cos2theta+cos theta) is equal to

    Text Solution

    |

  14. If 4nalpha =pi then cot alpha cot 2 alpha cot 3alpha ...cot (2n-1)alph...

    Text Solution

    |

  15. The value of tan7 1/2^@ equal to

    Text Solution

    |

  16. If tanalpha=sqrt(a), where a is a rational number whch is not a perfec...

    Text Solution

    |

  17. The value of 2tan18^@+3sec18^@-4cos18^@ is

    Text Solution

    |

  18. If tan^2alpha-2tan^2beta=1 then which of the following options is corr...

    Text Solution

    |

  19. The value of tan10^@tan50^@tan70^@ is

    Text Solution

    |

  20. If the arcs of the same length in two circles subtend angles 65 and 11...

    Text Solution

    |