Home
Class 12
MATHS
If A+ B+ C=pi, nin Z,then tan nA+ tan +...

If A+ B+ C=`pi`, n`in` Z,then tan nA+ tan +nB +tan nC is equal to

A

0

B

1

C

tan nA tan nB tan nC

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM

    OBJECTIVE RD SHARMA|Exercise Chapter Test|55 Videos
  • PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|13 Videos
  • PLANE AND STRAIGHT LINE IN SPACE

    OBJECTIVE RD SHARMA|Exercise Chapter Test|31 Videos
  • REAL FUNCTIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

If A+B + C =180^(@), then tan A + tan B + tan C is equal to

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

If A+B+C=pi , then, find tan A + tan B + tan C

If A+b+C=pi then tan A+tan B+tan Ctan Adot anB tan C

(a) tan A+tan B+tan C=tan A tan B tan C

If A=35^(@),B=15^(@) and C=40^(@), then tan A.tan B+tan B.tan C tan C.tan A is equal to

If A + B + C = 180^(@) , then prove that tan A + tan B + tan C = tan A tan B tan C.

OBJECTIVE RD SHARMA-PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM-Exercise
  1. Point D,E are taken on the side BC of an acute angled triangle ABC,, s...

    Text Solution

    |

  2. In a triangle ABC, if 3a = b+c, then the value of cot ""(B)/(2) cot ""...

    Text Solution

    |

  3. If A+ B+ C=pi, nin Z,then tan nA+ tan +nB +tan nC is equal to

    Text Solution

    |

  4. If A,B,C are angles of a triangle ,then the minimum value of tan^(2)(A...

    Text Solution

    |

  5. In a triangle ABC ,cos A + cos B + cos C =3/2, then the triangle ,is

    Text Solution

    |

  6. In any triangle ABC, if cosA cos B + sin A sin B sinC =1 then prove th...

    Text Solution

    |

  7. If in a triangle ABC ,(b+c)/11=(c+a)/12=(a+b)/13 then cosA is equal t...

    Text Solution

    |

  8. If p(1),p(2),p(3) are altitudes of a triangle ABC from the vertices A,...

    Text Solution

    |

  9. If p(1),p(2),p(3) are altitudes of a triangle ABC from the vertices A,...

    Text Solution

    |

  10. P(1), P(2), P(3) are altitudes of a triangle ABC from the vertices A, ...

    Text Solution

    |

  11. If median of the DeltaABC through A is perpendicular to BC, then which...

    Text Solution

    |

  12. In DeltaABC if (sinA)/(sinC)=(sin(A-B))/(sin(B-C)), then a^(2), b^(2)...

    Text Solution

    |

  13. If in a !ABC ,a tan A + btanB =(a + b) tan((A+B)/2) , then

    Text Solution

    |

  14. If in a !ABC , cosA=(sinB)/(2sinC) then the !ABC , is

    Text Solution

    |

  15. If in a triangle ABC,(a^(2)-b^(2))/(a^(2)+b^(2)) then the triangle is

    Text Solution

    |

  16. If in a triangle ABC, b + c = 3a, then tan(B/2)tan(C/2) is equal to

    Text Solution

    |

  17. Let ABC be a triangle such that angle A =45^(@) , angle B =75^(@), the...

    Text Solution

    |

  18. If in a DeltaABC , cos A + 2 cosB+cosC= 2, then a,b, c are in

    Text Solution

    |

  19. If the altitudes of a triangle are in A.P,then the sides of the triang...

    Text Solution

    |

  20. In any !ABC ,the distance of the orthocentre from the vertices A, B,C ...

    Text Solution

    |