Home
Class 12
MATHS
If ABC are angle of a triangle then prov...

If ABC are angle of a triangle then prove that `cot Acot B+ cot Bcot C+cotCcostA=1`

A

`-1`

B

0

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC AND INVERSE TRIGONOMETRIC EQUATIONS

    SIA PUBLICATION|Exercise Problems|27 Videos

Similar Questions

Explore conceptually related problems

Cot A +Cot B +cot C =

If A+B+C=0 , then cot A cotB + cot B cot C+ cot C cot A =

In an acute angled triangle, cot B cot C + cot A cot C + cot A cot B

In an acute angled triangle, cot B cot C + cot A cot C + cot A cot B

If A+B+C= pi//2 then show that cot A + cot B+ cot C=cot A cot B cot C

In an acute angled triangle ABC, cot A cot B + cot C + cot c Cot A = …..

If A, B and C are interior angles of a triangle ABC, then show that tan((A + B)/(2)) = cot ""(C)/(2)

If A , B and C are interior angles of a triangle ABC, then show that tan ((A+B) /(2)) =cot C//(2)

If A, B, C are the angles of a triangle such that "cot"(A)/(2)="3 tan"(C )/(2) , then sin A, sin B, sin C are in

SIA PUBLICATION-TRIGONOMETRIC RATIOS -PROBLEMS
  1. The minimum value of 27 tan^2 theta+3 cot ^2 theta is

    Text Solution

    |

  2. cos 36^(@) - cos 72^(@) =

    Text Solution

    |

  3. If ABC are angle of a triangle then prove that cot Acot B+ cot Bcot C+...

    Text Solution

    |

  4. If f: R to R is defined by f(x)=7+ cos(5x+3) " for " x in R , then th...

    Text Solution

    |

  5. cos A =(3)/4 implies 32 sin""((A)/(2)) sin""((5A)/(2))=

    Text Solution

    |

  6. If f(x)=sin^(6) x + cos^(6) x for x in R , then f(x) lies in the int...

    Text Solution

    |

  7. The period of (tan theta -1/3 tan ^(3) theta ) ((1)/(3) - tan ^(2) the...

    Text Solution

    |

  8. a sin^(2) theta + b cos^(2) theta =c implies tan^(2) theta =

    Text Solution

    |

  9. If cos (x-y) , cos x , cos (x+y) are three distinct numbers which are...

    Text Solution

    |

  10. The period of sin^4 x + cos^(4) x is

    Text Solution

    |

  11. (cos x )/( cos (x-2y))= lambda implies tan(x-y) tan y=

    Text Solution

    |

  12. cos A cos 2A cos 4A .......cos^(2^(n-1))A=

    Text Solution

    |

  13. sqrt3 cosec 20^(@) -sec 20^(@) is equal to

    Text Solution

    |

  14. If A=35^(@) , B= 15^(@) and C=40^(@) , then tan A* tan B+ tan B* tan...

    Text Solution

    |

  15. If tan theta + tan ( theta + (pi)/(3))+ tan ( theta + (2pi)/(3))=3 , ...

    Text Solution

    |

  16. If alpha + beta + gamma = 2 theta , " then " cos theta + cos ( theta...

    Text Solution

    |

  17. If 'theta' lies in the first quadrant and 5 tan theta=4, then (5 sin t...

    Text Solution

    |

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

    Text Solution

    |

  19. The value of (tan 80^@ - tan 10^(@))/( tan 70^(@))

    Text Solution

    |

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

    Text Solution

    |