Home
Class 11
MATHS
If tanA+tanB+tanC=tanA.tanB.tanC, then-...

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

A

A,B,C must be angles of a triangle

B

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

C

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

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise EXERCISE (JA)|16 Videos
  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise EXERCISE (JM)|16 Videos
  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise DO YOURSELF 12|1 Videos
  • BASIC MATHS LOGARITHIM TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise ILLUSTRATIONS|39 Videos
  • SOLUTION AND PROPERTIES OF TRIANGLE

    ALLEN|Exercise All Questions|62 Videos

Similar Questions

Explore conceptually related problems

tanA +tanB + tanC = tanA tanB tanC if

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

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

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

In triangle A B C ,tanA+tanB+tanC=6a n dtanAtanB=2, then the values of tanA ,tanB ,tanC are, respectively (a)1,2,3 (b) 3,2//3,7//3 (c)4,1//2 ,3//2 (d) none of these

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

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

In DeltaABC , tanA+tanB+tanC=tanAtanBtanC

If in DeltaABC, tan A+tanB+tanC=6 and tanA tanB=2 , then sin^(2)A:sin^(2)B:sin^(2)C is

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

ALLEN-BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION -EXERCISE (O-1)
  1. If x=ycos((2pi)/3)=zcos((4pi)/3), then xy+yz+zx=

    Text Solution

    |

  2. If tanalpha=(1+2^(-x))^(-1), tanbeta=(1+2^(x+1))^(-1), then alpha+beta...

    Text Solution

    |

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

    Text Solution

    |

  4. The value of sin10^(@)+2sin20^(@)+sin30^(@)+….+sin360^(@) is equal to

    Text Solution

    |

  5. The number of real solutions of the equation sin(e^x)=2^x+2^(-x) is

    Text Solution

    |

  6. If f(x)=sin(3x)/sin x,x!=npi, then the range of values of f(x) for ...

    Text Solution

    |

  7. If cosx+cosy+cosalpha=0 and sinx + siny + sinalpha=0, then cot((x+y)/2...

    Text Solution

    |

  8. The value of sin(pi/14)sin((3pi)/14)sin((5pi)/14) is

    Text Solution

    |

  9. Maximum and minimum value of 2sin^(2)theta-3sintheta+2 is-

    Text Solution

    |

  10. For theta in(0,pi/2) , the maximum value of sin(theta+pi/6)+cos(theta+...

    Text Solution

    |

  11. Minimum value of the expression cos^2theta-(6 sintheta cos theta) + 3 ...

    Text Solution

    |

  12. The general solution of tan3x=1 is

    Text Solution

    |

  13. If 2tan^(2)theta=sec^(2)theta, then the general solution of theta-

    Text Solution

    |

  14. Number of principle solution(s) of the equation 4.16^(sin^(2)x) = 2^(6...

    Text Solution

    |

  15. If tantheta-sqrt2sectheta=sqrt3 then find the general solution of thet...

    Text Solution

    |

  16. The number of solution of the equation tan^(2)-sec^(10)x+1=0 in (0,10)...

    Text Solution

    |

  17. The solution set of (5+4costheta)(2costheta+1)=0 in the interval [0,2p...

    Text Solution

    |

  18. The equation sinx cosx=2 has:

    Text Solution

    |

  19. If 0<=x<=3pi ,0<=y<=3pi and cos x .sin y = 1 , then find the possible ...

    Text Solution

    |

  20. If (tan2theta+tantheta)/(1-tanthetatan2theta)=0 then the general value...

    Text Solution

    |