Home
Class 12
MATHS
Prove that, for/\ABC, (b+c)cosA+(c+a)cos...

Prove that, for`/_\ABC`, `(b+c)cosA+(c+a)cosB+(a+b)cosC = a+b+c`

Promotional Banner

Topper's Solved these Questions

  • Trignometric Functions

    CHETANA PUBLICATION|Exercise EXERCISE|113 Videos

  • PROBABILITY DISTRIBUTIONS

    CHETANA PUBLICATION|Exercise EXERCISE|108 Videos

Similar Questions

Explore conceptually related problems

In triangleABC, (b+c)cosA+(c+a)cosB+(a+b)cosC=

In DeltaABC,(cosA)/(a)+(cosB)/(b)+(cosC)/(c) =

With proper notations prove that 2(bc cosA+ac cosB+abcosC) = a^2+b^2+c^2

IN triangleABC, (cosC+cosA)/(c+a)+(cosB)/(b)=

In a triangle ABC If ( 2 cos A)/a + ( cos B)/b + (2 cos C)/c = a/(bc) + b/(ca) , find the angle A.

Solve the followimg In /_\ABC if cosA = sinB-cosC, then show that it is a right angled triangle.

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

For /_\ABC , prove that frac{cosA}{c cosB+bcosC}+frac{cosB}{acosC+c cosA}+frac{cosC}{acosB+bcosA} = frac{a^2+b^2+c^2}{2abc}

In triangleABC, a(b^(2)+c^(2))cosA+b(c^(2)+a^(2))cosB+c(a^(2)+b^(2))cosC=

Select the correct option from the given alternatives: In /_\ABC , ac cosB-bc cosA = A) a^2-b^2 B) b^2-c^2 C) c^2-a^2 D) a^2-b^2-c^2

CHETANA PUBLICATION-Trignometric Functions-EXERCISE
  1. In any /\ABC, prove that frac{a^2sin(B-C)}{sinA}+frac{b^2sin(C-A)}{sin...

    Text Solution

    |

  2. For /\ABC, prove that frac{cosA}{c cosB+bcosC}+frac{cosB}{acosC+c cosA...

    Text Solution

    |

  3. Prove that, for/\ABC, (b+c)cosA+(c+a)cosB+(a+b)cosC = a+b+c

    Text Solution

    |

  4. In /\ABC, if sin^2A+sin^2B = sin^2C, then, show that the triangle is a...

    Text Solution

    |

  5. With the usual notations, show that frac{asin(B-C)}{b^2-c^2} = frac{bs...

    Text Solution

    |

  6. Show that in /\ABC, tan(frac{A}{2})tan(frac{B}{2}) = frac{a+b-c}{a+b+c...

    Text Solution

    |

  7. In /\ABC, show that bcos^2(frac{C}{2})+c cos^2(frac{B}{2}) = s

    Text Solution

    |

  8. Find the polar coordinates of a point whose cartesian coordinates are ...

    Text Solution

    |

  9. Find the ratio of sides of a 30^@-60^@-90^@ triangle

    Text Solution

    |

  10. In /\ABC, a=2, b=3 and sinA = frac{2}{3}, find B

    Text Solution

    |

  11. In /\ABC, a=2, b=3, c=4, prove that the triangle is obtuse angled.

    Text Solution

    |

  12. In /\ABC A = 60^@, b=3, c=8, find a

    Text Solution

    |

  13. In /\ABC, A = 60^@, a=7, find circum radius

    Text Solution

    |

  14. In /\ABC, if a=13, b=14, c=15 then find the value of: cosA

    Text Solution

    |

  15. In /\ABC, if a=13, b=14, c=15 then find the value of: sin(frac{A}{2})

    Text Solution

    |

  16. In /\ABC, if a=13, b=14, c=15 then find the value of: cos(frac{A}{2})

    Text Solution

    |

  17. In /\ABC, if a=13, b=14, c=15 then find the value of: tan(frac{A}{2})

    Text Solution

    |

  18. In /\ABC, if a=13, b=14, c=15 then find the value of: A(/\ABC)

    Text Solution

    |

  19. In /\ABC, if a=13, b=14, c=15 then find the value of: sinA

    Text Solution

    |

  20. In /\ABC, prove that cot(frac{A}{2})+cot(frac{B}{2})+cot(frac{C}{2}) =...

    Text Solution

    |