Home
Class 11
MATHS
if A+B+C=pi then cosA/(sinBsinC)+cosB/...

if `A+B+C=pi` then `cosA/(sinBsinC)+cosB/(sinCsinA)+cosC/(sinAsinB)=`

A

0

B

1

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • FACTORIZATION FORMULAE

    TARGET PUBLICATION|Exercise COMETITIVE THINKING|34 Videos
  • FACTORIZATION FORMULAE

    TARGET PUBLICATION|Exercise EVALUATION TEST|8 Videos
  • FACTORIZATION FORMULAE

    TARGET PUBLICATION|Exercise EVALUATION TEST|8 Videos
  • CIRCLE AND CONICS

    TARGET PUBLICATION|Exercise EVALUATION TEST|28 Videos
  • PROBABILITY

    TARGET PUBLICATION|Exercise EVALUATION TEST|8 Videos

Similar Questions

Explore conceptually related problems

If A+B+C=pi , prove that : (cosA)/(sinBsinC) + (cosB)/(sinC sinA) + (cosC)/(sinA sinB) =2 .

If A+B+C=pi , prove that : cosA sinB sinC +cosB sinC sinA+cosC sinA sinB=1+cosA cosB cosC .

If A+C=2B, then (cosC-cosA)/(sinA-sinC)=

Prove that: (sin(A-B))/(sinAsinB)=(sinAcosB-cosAsinB)/(sinAsinB) (sinAcosB)/(sinAsinB)-(cosAsinB)/(sinCsinA) =cotB-cotA-cotC =0 = RHS Hence Proved.

If A+B+C=pi, prove that sin2A-sin2B+sin2C=4cosA sin B cosC .

If A+B+C=pi , prove that : sinA cosB cosC +sinB cosC cosA + sinC cosA cosB = sinA sinB sinC .

In triangleABC, (cosA)/(c cosB+bcosC)+(cosB)/(acosC+ccosA)+(cosC)/(acosB+bcosA)=

If A+B+C=180 , prove that: sinA+sinB+sinC=4cosA/2cosB/2cosC/2

If A+B+C=pi , prove that : cosA + cosB-cosC=4cos(A/2) cos(B/2) sin(C/2) -1

TARGET PUBLICATION-FACTORIZATION FORMULAE-CRITICAL THINKING
  1. sin 20^(@) sin 40^(@) sin 60^(@) sin 80^(@) =

    Text Solution

    |

  2. Prove that tan 20^(@) tan 40^(@) tan 80^(@)=tan 60^(@)

    Text Solution

    |

  3. The value of (tan 70^(@) - tan 20^(@))/( tan 50^(@))=

    Text Solution

    |

  4. The value of tan20^(@)+2 tan50^(@)-tan70^(@), is

    Text Solution

    |

  5. cosec 48^(@) + cosec 96^(@) + cosec 192^(@) + cosec 384^(@)=

    Text Solution

    |

  6. If the value of cos((2pi)/7) + cos((4pi)/7)+cos((6pi)/7)+cos((7pi/7))=...

    Text Solution

    |

  7. The expression cos^(2)(A-B)+cos^(2)B-2cos(A-B)cosAcosB is

    Text Solution

    |

  8. If A=tan6^(@) tan 42^(@) and B= cot 66^(@)cot 78^(@) then-

    Text Solution

    |

  9. If A, B, C are the angles of a triangle, then sin 2A + sin 2B - sin 2C...

    Text Solution

    |

  10. If A+B+C=pi , prove that cos 2A +cos 2B +cos 2C=-1-4cos A cos Bcos ...

    Text Solution

    |

  11. If x +y+z = 180^@, then cos2x + cos2y-cos2z is equal to

    Text Solution

    |

  12. If A+B+C=3pi/2. Then cos 2A +cos 2B+cos2C is equal to

    Text Solution

    |

  13. if A+B+C=pi then cosA/(sinBsinC)+cosB/(sinCsinA)+cosC/(sinAsinB)=

    Text Solution

    |

  14. If A, B, C are the angles of a triangle then sin^(2)A+sin^(2)B+sin^(2)...

    Text Solution

    |

  15. Prove that: cos^2A+cos^2(A+pi/3)+cos^2(A-pi/3)=3/2

    Text Solution

    |

  16. If A+B+C=pi then prove that cos^2 (A/2)+cos^2 (B/2)-cos^2 (C/2)=2cos(A...

    Text Solution

    |

  17. In a triangle ABC, the value of sinA+sinB+sinC is

    Text Solution

    |

  18. If A+B+C = 180^@ then (sin 2A + sin 2B + sin 2C) / (cosA + cosB + cosC...

    Text Solution

    |

  19. If alpha+beta+gamma=2pi then

    Text Solution

    |

  20. In a DeltaABC sum((cotA+cotB)/(tanA+tanB)) is equal to

    Text Solution

    |