prove that a2+b2a2+c2=1 + cos ( A - B )cos C 1 + cos ( A

prove that $\frac{a^{2} + b^{2}}{a^{2} + c^{2}} = \frac{1 + \cos (A - B) \cos C}{1 + \cos (A - c) \cos B}$ .

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prove that a2+b2a2+c2=1 + cos ( A - B )cos C 1 + cos ( A - c )cos B .

prove that $\frac{a^{2} + b^{2}}{a^{2} + c^{2}} = \frac{1 + \cos (A - B) \cos C}{1 + \cos (A - c) \cos B}$ .