Home
Class 11
MATHS
Show that cosA/a +cosB/b +cosC/c =(a^2 +...

Show that `cosA/a +cosB/b +cosC/c =(a^2 +b^2 +c^2 )/2abc

Text Solution

Verified by Experts

The correct Answer is:
`(a^(2)+b^(2)+c^(2))/(2abc)`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    FULL MARKS|Exercise Exercise 3.1|12 Videos

  • TRIGONOMETRY

    FULL MARKS|Exercise Exercise 3.2|11 Videos

  • TRIGONOMETRY

    FULL MARKS|Exercise Exercise 3.12|20 Videos

  • SOLVED PAPER 10

    FULL MARKS|Exercise PART-IV|8 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY

    FULL MARKS|Exercise Additional Questions Solved|19 Videos

Similar Questions

Explore conceptually related problems

Show that a(bcosC -ccosB)=b^2 -c^2

Prove that cosA+cosB+cosC=1+r/R

Show that (b+c)cosA +(c+a)cosB +(a+b)cosC =a+b+c

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

Prove that cosA -cosB -cosC =1-4sin(A/2)cos(B/2)cos(C/2) ,if A+B+C= pi

Show that cos[(B-C)/2]=(b+c)/a sin(A/2)

If in a DeltaABC, 2(cosA)/(a)+(cosB)/(b)+(2cosC)/(c)=(a)/(bc)+(b)/(ca) Then, the value of the angleA is ...... Degree

If A+B+C+D = 2pi , prove that : cosA +cosB+cosC+cosD=4 cos, (A+B)/2 cos, (B+C)/(2) cos, (C+A)/2

Show that: |b^2+c^2a b a c b a c^2+a^2b cc a c b a^2+b^2|=4a^2b^2c^2

Show that |{:( 2bc-a^2 , c^2 ,b^2),(c^2 , 2ca-b^2 , a^2),(b^2 , a^2 , 2ab-c^2):}| = |{:(a,b,c),(b,c,a),(c,a,b):}|^2