Use the Law of Cosines to prove each identity. (a) 1 2 bc(1 + cos A) = ( a + b + c 2 )(a
Chapter 7, Problem 61(choose chapter or problem)
Use the Law of Cosines to prove each identity.
(a) \(\frac{1}{2} b c(1+\cos A)=\left(\frac{a+b+c}{2}\right)\left(\frac{-a+b+c}{2}\right)\)
(b) \(\frac{1}{2} b c(1-\cos A)=\left(\frac{a-b+c}{2}\right)\left(\frac{a+b-c}{2}\right)\)
Text Transcription:
1/2 bc(1 + cos A) = (a + b + c / 2) / (−a + b + c / 2)
1/2 bc(1 − cos A) = (a − b + c / 2) / (a + b − c / 2)
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