Use a half-angle formula and the Law of Cosines to show that, for any triangle, (a) cos
Chapter 7, Problem 64(choose chapter or problem)
Use a half-angle formula and the Law of Cosines to show that, for any triangle,
(a) \(\cos \frac{C}{2}=\sqrt{\frac{s(s-c)}{a b}}\) and
(b) \(\sin \frac{C}{2}=\sqrt{\frac{(s-a)(s-b)}{a b}}\)
where \(s=\frac{1}{2}(a+b+c)\).
Text Transcription:
cos C/2 = sqrt s(s − c) / ab
sin C/2 = sqrt (s − a)(s − b) / ab
s = 1/2(a + b + c)
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