Home
Class 12
MATHS
In Delta ABC, prove that (b - c)^(2) cos...

In `Delta ABC`, prove that `(b - c)^(2) cos^(2) ((A)/(2)) + (b + c)^(2) sin^(2) ((A)/(2)) = a^(2)`.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • QUESTION BANK 2021

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise PAIRS OF LINES |21 Videos

  • QUESTION BANK 2021

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise VECTOR AND THREE DIMENSIONAL GEOMETRY |54 Videos

  • QUESTION BANK 2021

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MATRICES|63 Videos

  • PROBABILITY DISTRIBUTION

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|9 Videos

  • THREE DIMENSIONAL GEOMETRY

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise MULTIPLE CHOICE QUESTIONS|8 Videos

Similar Questions

Explore conceptually related problems

In Delta ABC , prove that (a - b)^(2) cos^(2).(C)/(2) + (a + b)^(2) sin^(2).(C)/(2) = c^(2)

Delta ABC,(a-b)^(2)cos^(2)((C)/(2))+(a+b)^(2)sin^(2)((C)/(2))=

In Delta ABC prove that 2(b cos^(2)((C)/(2))-c cos^(2)((B)/(2)))=a+b+c

In any Delta ABC, prove that: (b-c)/(a)cos^(2)((A)/(2))+(c-a)/(b)cos^(2)((B)/(2))+(a-b)/(c)cos^(2)((C)/(2))=0

Show that, in a triangle ABC. a^(2) = (b - c)^(2) cos^(2) (A/2) + (b + c)^(2) sin^(2) (A/2) .

In any Delta ABC, prove that :(a+b)/(c)=(cos((A-B)/(2)))/(sin((c)/(2)))

In any Delta ABC, prove that :a(b cos C-c cos B)=b^(2)-c^(2)

In Delta ABC, prove that: (cot((A)/(2))+cot((B)/(2)))(a sin^(2)((B)/(2))+b sin^(2)((A)/(2)))=c cot((C)/(2))

In Delta ABC ,(a-b)^(2)cos ^(2) (c /2) +(a+b)^(2) sin ^(2)""(c )/(2) =

NAVNEET PUBLICATION - MAHARASHTRA BOARD-QUESTION BANK 2021-TRIGONOMETRIC FUNCTIONS
  1. In any A B C , prove that: (cos A)/a+(cos B)/b+(cos C)/c=(a^2+b^2+c^2...

    Text Solution

    |

  2. Find the general solutions of cos 2x = 1.

    Text Solution

    |

  3. In Delta ABC, prove that (b - c)^(2) cos^(2) ((A)/(2)) + (b + c)^(2) s...

    Text Solution

    |

  4. The principal solution of sinx=(-1)/(2) is

    Text Solution

    |

  5. Find the value of cos^(-1) ((1)/(2)) + tan^(-1) ((1)/(sqrt(3)))

    Text Solution

    |

  6. In triangleABC, if a=13, b=14, c=15, then cosB=

    Text Solution

    |

  7. In Delta ABC, if (cos A)/(a) = (cos B)/(b), then show that it is an is...

    Text Solution

    |

  8. The principal solution tanx=-sqrt(3) is

    Text Solution

    |

  9. Evaluate cos [(pi)/(6) + cos^(-1) (-(sqrt(3))/(2))]

    Text Solution

    |

  10. If a cos A = b cos B, prove that the Delta ABC is either isosceles o...

    Text Solution

    |

  11. In DeltaABC, prove that (cos 2A)/(a^(2))-(cos 2C)/(c^(2)) = (1)/(a^(2)...

    Text Solution

    |

  12. If tan^(-1) x + tan^(-1)y + tan^(-1)z = pi show that : 1/(xy) + 1/(y...

    Text Solution

    |

  13. Prove that: sin{tan^(-1)(1-x^2)/(2x)+cos^(-1)(1-x^2)/(1+x^2)}=1

    Text Solution

    |

  14. If in a triangleA B C , (2cosA)/a+(cos B)/b+(2cosC)/c=a/(b c)+b/(c a) ...

    Text Solution

    |

  15. In any DeltaABC, prove that : (a-b)/c = (sin, (A-B)/2)/(cos,C/2)

    Text Solution

    |

  16. If the angles A,B,C of /\ABC are in A.P., and its sides a, b, c are in...

    Text Solution

    |

  17. Prove that cot^(-1) 7 + 2 cot^(-1)3 = pi/4

    Text Solution

    |

  18. In any triangle A B C , prove that following: \ (cos^2B-cos^2C)/(b+c)+...

    Text Solution

    |

  19. Show that : sin^(-1) 3/5 + sin^(-1) 8/17 = cos^(-1) 36/85.

    Text Solution

    |

  20. In DeltaABC, prove that (a^(2)sin (B-C))/(sin A) + (b^(2) sin (C-A))/(...

    Text Solution

    |