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archaic
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Plus one on that.Doc Al said:Good stuff!
Look at the left graph, the side which is equal to ##\sin{(\alpha+\beta)}## is equal to the opposite side since this is a rectange, you reason the same way for the rest, for the cosine you'll be substracting what's left of the side from the opposite one.symbolipoint said:These figures, the two diagrams, are complicated for me. Maybe I have lost something in the last several years.
Some of the books I used showed derivations from graphs, which although complicated, after examining them carefully for a long time, I was able to understand. Learning to recreate some of the graphs might be a way for some people to figure how to get some of the formulas.
There is a good graph and derivation shown for Law Of Cosines, in of all places, the big thick Calculus book by Anton; a book I never used for any course but found the copy at a used-book sale.
Still very tough. With time and thinking, I am able to understand the red triangle and the lower blue triangle for the figure on the left. I have not understood beyond those yet.archaic said:Look at the left graph, the side which is equal to ##\sin{(\alpha+\beta)}## is equal to the opposite side since this is a rectange, you reason the same way for the rest, for the cosine you'll be substracting what's left of the side from the opposite one.
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