Actually, one of my math teacher told me about this. I want to know is there any relationship between this trick and their respective values?
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4Sin and cos mirror eachother because they are co-functions. One value depends on the other due to $sin^2(x) + cos^2(x) = 1$. As for the values themselves, there is no relation. It just so happens a trick could be made for those 5 values. – Kaynex Dec 24 '15 at 21:44
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This question shows patterns for some other sets of angles. – Blue Dec 24 '15 at 22:11
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The Math Forum shows how to derive those angles. – cr3 Dec 24 '15 at 23:24
