Home
Class 11
MATHS
In any A B C , the value of 2a csin((A...

In any ` A B C` , the value of `2a csin((A-B+C)/2)` is (a)`a^2+b^2-c^2` (b) `c^2+a^2-b^2` (c) `b^2-c^2-a^2` (d) `c^2-a^2-b^2`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SETS

    RD SHARMA ENGLISH|Exercise All Questions|228 Videos

  • SOME SPECIAL SERIES

    RD SHARMA ENGLISH|Exercise All Questions|69 Videos

Similar Questions

Explore conceptually related problems

In triangle A B C ,2a csin(1/2(A-B+C)) is equal to (a) a^2+b^2-c^2 (b) c^2+a^2-b^2 (c) b^2-c^2-a^2 (d) c^2-a^2-b^2

In triangle A B C ,2a csin(1/2(A-B+C)) is equal to a^2+b^2-c^2 (b) c^2+a^2-b^2 b^2-c^2-a^2 (d) c^2-a^2-b^2

If any triangle A B C , that: (asin(B-C))/(b^2-c^2)=(bsin(C-A))/(c^2-a^2)=(csin(A-B))/(a^2-b^2)

In any Delta A B C , prove that: (cos A)/a+(cos B)/b+(cos C)/c=(a^2+b^2+c^2)/(2a b c)

In any DeltaA B C ,suma(sinB-sin C)= (a) a^2+b^2+c^2 (b) a^2 (c) b^2 (d) 0

In any A B C , prove that: 2{asin^2C/2+csin^2A/2}=a+c-b

In any triangle A B C , prove that: ("sin"(B-C))/("sin"(B+C))=(b^2-c^2)/(a^2)

Prove that: 2a^2+2b^2+2c^2-2a b-2b c-2c a=(a-b)^2+(b-c)^2+(c-a)^2

If a x+b y+c z=p , then minimum value of x^2+y^2+z^2 is (p/(a+b+c))^2 (b) (p^2)/(a^2+b^2+c^2) (a^2+b^2+c^2)/(p^2) (d) ((a+b+c)/p)^2

In any A B C , prove that: 2{b cos^2(C/2) + c cos^2(B/2)}=a+c+b

RD SHARMA ENGLISH-SINE AND COSINE FORMULAE AND THEIR APPLICATIONS-All Questions
  1. In a triangle A B C ,a=4,b=3,/A=60^0 then c is root of the equation c^...

    Text Solution

    |

  2. In any A B C ,2(bc cosA+ ca cosB+ab cosC) =

    Text Solution

    |

  3. In any A B C , the value of 2a csin((A-B+C)/2) is (a)a^2+b^2-c^2 ...

    Text Solution

    |

  4. In a A B C , if (c+a+b)(a+b-c)=a b , then the measure of angel C is p...

    Text Solution

    |

  5. If any triangle A B C , that: (b^2-c^2)/(cosB+cosC)+(c^2-a^2)/(cosC+co...

    Text Solution

    |

  6. In a right angled triangle ABC, write the value of sin^2 A + sin^2 B+ ...

    Text Solution

    |

  7. Prove that, (asin(B-C))/(b^(2)-c^(2)) = (bsin(C-A))/(c^(2)-a^(2)) = ...

    Text Solution

    |

  8. In a A B C , if cosC=(sinA)/(2sinB) , prove that the triangle is isos...

    Text Solution

    |

  9. Problem on sine rule Type:-2 (i)The angle of elevation of the top of t...

    Text Solution

    |

  10. (sqrt(sinA)-sqrt(sinB))/(sqrt(sinA)+sqrt(sinB)) = (a+b-2sqrt(ab))/(a-b...

    Text Solution

    |

  11. Let O be a point inside a triangle A B C such that /O A B=/O B C=/O C ...

    Text Solution

    |

  12. The angle of elevation of the top of a tower from a point A due south ...

    Text Solution

    |

  13. (bsecB+csecC)/(tanB+t a n C)=(csecC+asecA)/(tanC+t a n A)=(asecA+bsecB...

    Text Solution

    |

  14. a(cosC-cosB)=2(b-c)cos^2A/2

    Text Solution

    |

  15. a^2(cos^2B-cos^2C)+b^2(cos^2C-cos^2A)+c^2(cos^2A-cos^2B)=0 .

    Text Solution

    |

  16. cos(2A)/a^2-cos(2B)/b^2 = 1/a^2-1/b^2

    Text Solution

    |

  17. In a Delta A B C ,\ if\ a=2,\ b=3\ a n d\ sin A=2/3 then find /B

    Text Solution

    |

  18. In any triangle A B C , prove that: ("sin"(B-C))/("sin"(B+C))=(b^2-c^2...

    Text Solution

    |

  19. In any triangle A B C , prove that: \ asin(B-C)+b sin(C-A)+csin(A-B)=0

    Text Solution

    |

  20. In any triangle A B C , prove that: \ a^3sin(B-C)+b^3sin(C-A)+c^3sin(A...

    Text Solution

    |