Show that the function sine assigns the same value to each element of any fixed left coset
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Show that the function sine assigns the same value to each element of any fixed left coset of the subgroup (2π) of the additive group R of real numbers. (Thus sine induces a well-defined function on the set of cosets; the value of the function on a coset is obtained when we choose an element x of the coset and compute sin x .)
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Consider a left coset r 2 of 2 in R Then every elem...View the full answer
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