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一、欧拉等式的推导我们首先推导欧拉等式 丹r.护、sln二一‘·从、‘一ha)在代数学中有熟知的公式: (eosz+‘sinz),=e‘z‘== eos用2+isin川之其中m为自然数,将左边按二项式展开,然后比较左右两端的虚部,即得到‘sinm之== meosm一lzsin之一m(脚一1)(m一2) 1一2一3eos,一a之sin
First, the derivation of Euler’s equation We first derive the Euler equation Dan r. Nurse, sln two one ’from,’ a ha) in algebra have well-known formula: (eosz + ’sinz), = e’z ’== eos with 2 + isin Sichuan where m is a natural number, the left according to the binomial expansion, and then compare the left and right ends of the imaginary part of’ sinm of == meosm a lzsin m (foot a) () m a 2) 1 a 2 a 3eos, a sin