Given-ABC-where-BC-a-AC-b-and-AB-c-If-A-60-Find-the-value-of-1-b-c-a-c-1-c-b-a-b-

Question Number 195517 by cortano12 last updated on 04/Aug/23

Given Δ ABC where BC = a,

AC = b and AB = c . If ∠ A = 60 °

Find the value of

(1 + \frac{b}{c} + \frac{a}{c}) (1 + \frac{c}{b} + \frac{a}{b}) .

Answered by horsebrand11 last updated on 05/Aug/23

\frac{b + a}{c} = \frac{\cos (\frac{A - B}{2})}{\sin (\frac{C}{2})}

\frac{a + c}{b} = \frac{\cos (\frac{C - A}{2})}{\sin (\frac{B}{2})}