using cosine rule prove the sine rule
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I think ultimately the Law of Cosines is the most fundamental one. So this is a pretty good question. Perhaps a more pointed question is: assuming the Law of Cosines, what else do we need to prove the Law of Sines? The answer seems to be just the Trig Pythagorean Theorem, cos2θ+sin2θ=1. That’s about the minimum possible that turns a cosine into a sine; the rest is algebra.
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prove the sine rule using cosine rule
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