Home
Class 12
MATHS
In triangle ABC, prove that cos .(A)/(2)...

In triangle ABC, prove that `cos .(A)/(2)+cos.(B)/(2)+cos. (C)/(2) =4 cos .(pi-A)/(4)cos. (pi-B)/(4) cos.(pi-C)/(4)`

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER

    SRISIRI PUBLICATION|Exercise SECTION -A|17 Videos
  • QUESTION PAPER

    SRISIRI PUBLICATION|Exercise SECTION - A|25 Videos
  • QUESTION PAPER

    SRISIRI PUBLICATION|Exercise Section B|49 Videos
  • PROPERTIES OF TRIANGLES

    SRISIRI PUBLICATION|Exercise LAQ ,SAQ,VSAQ (2DHARDQ) (3DMIS.Q)|44 Videos
  • SOLVED MODEL PAPER - 4

    SRISIRI PUBLICATION|Exercise Long Answer Questions|9 Videos

Similar Questions

Explore conceptually related problems

In Delta ABC , prove that cos. (A)/(2)+cos. (B)/(2) - cos .(C)/(2)=4cos .(pi+A)/(4) cos. (pi+B)/(4) cos. (pi-C)/(4)

In triangle ABC , prove that sin .(A)/(2)+ sin. (B)/(2) -sin. (C)/(2)=-1+4 cos.(pi-A)/(4)cos. (pi-B)/(4)sin. (pi-C)/(4)

In a triangle ABCk if 4 Rr "cos" (A)/(2)"cos"(B)/(2)"cos"(C)/(2)

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

cos. (pi)/(7) + cos. (2pi)/(7) + cos. (3pi)/(7) + cos. (4pi)/(7) + cos. (5pi)/(7) + cos. (6pi)/(7)=

"cos" (2pi)/(7)+"cos" (4pi)/(7)+"cos"(6pi)/(7)=

Prove that cos. (pi)/(11). cos . (2 pi)/(11). cos . (3 pi)/(11) cos. (4 pi)/(11). cos . (5 pi)/(11)=(1)/(32)

Prove that cos. (2pi)/(7). Cos. (4pi)/(7). Cos. (8pi)/(7)=(1)/(8)

cos""(2pi)/(15) cos ""(4pi)/(15)""cos(8pi)/(15) cos""(16pi)/(15)=

cos (pi/7) cos ((2pi)/(7) ) cos ( (4pi )/(7) ) =

SRISIRI PUBLICATION-QUESTION PAPER -Section C
  1. Examine the consistency of the following systems of equations x+y+z=1...

    Text Solution

    |

  2. P.T the smaller angle theta between any two diagonals of a cube is giv...

    Text Solution

    |

  3. If bar(a)=bar(i)-2bar(j)+3bar(k),bar(b)=2bar(i)+bar(j)+bar(k), bar(c)=...

    Text Solution

    |

  4. If bar(a) = 2bar(i) + 3bar(j) + 4bar(k), bar(b) = bar(i) + bar(j) -bar...

    Text Solution

    |

  5. Find the shortest distance between the skew lines . bar(r)=(6bar(i)...

    Text Solution

    |

  6. If A=(1,-2,-1) , B=(4,0,-3),C= (1,2,-1),D=(2,-4,-5) then find distan...

    Text Solution

    |

  7. If A+B+C= 180^(@), then show that sin 2A+ sin 2B+ sin 2C =4 sin A sin...

    Text Solution

    |

  8. IF A,B,C are angles in the triangle, then prove that cosA+cosB-cosC=...

    Text Solution

    |

  9. If A, B , C are angles in a triangle, then the sin ^(2)A+sin ^(2)B - s...

    Text Solution

    |

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

    Text Solution

    |

  11. If A, B , C are angles of a triangle, then P. T sin ^(2) . (A)/(2)+ si...

    Text Solution

    |

  12. In triangle ABC, prove that cos .(A)/(2)+cos.(B)/(2)+cos. (C)/(2) =4 c...

    Text Solution

    |

  13. If A+B+C=(3pi)/(2), prove that cos 2A+ cos 2B+ cos 2C=1-4 sin A sin B ...

    Text Solution

    |

  14. If A+B+C = 2S , then P.T cos(S-A)+cos(S-B)+cos(S-C)+cosS=4cos.(A)/(...

    Text Solution

    |

  15. In a /\ABC if a = 13,b=14,c=15 then S.T R = (65)/8 , r=4, r(1) = (21)/...

    Text Solution

    |

  16. If r(1) = 2, r(2) = 3, r(3) = 6 and r =1, prove that a = 3, b=4 and c ...

    Text Solution

    |

  17. In DeltaABC" prove that " (r(1))/(bc)+(r(2))/(ca)+(r(3))/(ab)=(1)/(r)-...

    Text Solution

    |

  18. If sin theta = a/(b+c) then show that cos theta = (2sqrt(bc))/(b+c) co...

    Text Solution

    |

  19. a cos^(2) A//2 + b cos^(2) B//2 + c cos^(2) C//2 = s + Delta / R అని చ...

    Text Solution

    |

  20. In a /\ABC if a^(2)+b^(2)+c^(2)=8R^(2) then show that/\ABC is a right ...

    Text Solution

    |