Home
Class 11
MATHS
If cosA+cosB+cosC=0=sinA+sinB+sinC then ...

If `cosA+cosB+cosC=0=sinA+sinB+sinC` then `cos^(2)((A-B)/2)=`

A

`1//2`

B

`1//4`

C

`3//4`

D

1

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • MULTIPLE & SUBMULTIPLE ANGLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|68 Videos
  • MULTIPLE & SUBMULTIPLE ANGLES

    AAKASH SERIES|Exercise EXERCISE-1 |35 Videos
  • MULTIPLE & SUBMULTIPLE

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - II) (LEVEL - II) (Linked Comprehension Type Questions)|5 Videos
  • MULTIPLE PRODUCT OF VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|62 Videos

Similar Questions

Explore conceptually related problems

If A+B+C= pi and cosA+cosB+cosC=0=sinA+sinB+sinC then cos3A+cos3B+cos3C=

If A+B+C=pi , then sinA-sinB+sinC=

If sinA+sinB=l and cosA-cosA-cosB=m , then cos(A-B)=

If A,B,C are angles in a triangle , then prove that cosA+cosB+cosC=1+4sin. (A)/(2)sin. (B)/(2) sin. (C)/(2)

If A+B+C=270^(@) then cos 2A+cos2B=cos2C+4sinA sinB sinC=

AAKASH SERIES-MULTIPLE & SUBMULTIPLE ANGLES-EXERCISE-II
  1. (cos^(3)21^(@)+cos^(3)39^(@))/(cos21^(@)+cos39^(@))=

    Text Solution

    |

  2. If cos alpha = (3)/(5) , cos beta =(5)/(13) , "then " cos^(2) ((alpha...

    Text Solution

    |

  3. If cosA+cosB+cosC=0=sinA+sinB+sinC then cos^(2)((A-B)/2)=

    Text Solution

    |

  4. If sin(pi cos theta)=cos(pi sin theta) then sin2theta=

    Text Solution

    |

  5. 2 sin^(2) beta + 4 cos( alpha+ beta) sin alpha sin beta + cos ( 2 alph...

    Text Solution

    |

  6. If A and B are acute angles satisfying 3sin^(2)A+2sin^(2)B=1 and 3 sin...

    Text Solution

    |

  7. If cos (theta - alpha) , cos theta , cos (theta + alpha ) are in H.P....

    Text Solution

    |

  8. A quadratic equation whose roots are sin^(2) 18^(@) , cos^(2) 36^(@) ...

    Text Solution

    |

  9. Prove that (1)/(cos 290^(@))+(1)/(sqrt3 sin 250^(@) )=(4)/(sqrt3)

    Text Solution

    |

  10. Prove that sqrt3 csc 20 ^(@)- sec 20^(@)=4

    Text Solution

    |

  11. sin6^(@)sin42^(@)sin66^(@)sin78^(@)=

    Text Solution

    |

  12. If A=tan6^(@) tan42^(@), B=cot66^(@) cot78^(@) then

    Text Solution

    |

  13. cos6^(@)sin24^(@)cos72^(@)=

    Text Solution

    |

  14. Prove that cos. (pi)/(11). cos . (2 pi)/(11). cos . (3 pi)/(11) cos. (...

    Text Solution

    |

  15. "Cos"(2pi)/15."Cos"(4pi)/15."Cos"(8pi)/15."Cos"(14pi)/15=

    Text Solution

    |

  16. If 630^@ lt A lt 720^(@) , |tan A|=12//5, " then " tan A//2=

    Text Solution

    |

  17. Prove that (1+cos""pi/10)(1+cos""(3pi)/10)(1+cos""(7pi)/10)(1+cos""(9p...

    Text Solution

    |

  18. "cos"^(2)pi/10+"cos"^(2)(2pi)/5+"cos"^(2)(3pi)/5+"cos"^(2)(9pi)/10=

    Text Solution

    |

  19. Show that cos^4""pi/8+cos^4""(3pi)/8+cos^4""(5pi)/8+cos^4""(7pi)/8=3/2

    Text Solution

    |

  20. tan9^(@)-tan27^(@)-tan63^(@)+tan81^(@)=

    Text Solution

    |