(sinx)′=cosx(\sin x)' = \cos x(sinx)′=cosx なので sinx=x−x33!+x55!−x77!+⋯\sin x = x - \frac{x^3}{3!} + \frac{x^5}{5!} - \frac{x^7}{7!} + \cdotssinx=x−3!x3+5!x5−7!x7+⋯ から (sinx)′=cosx=1−x22!+x44!−x66!+⋯(\sin x)' = \cos x = 1 - \frac{x^2}{2!} + \frac{x^4}{4!} - \frac{x^6}{6!} + \cdots(sinx)′=cosx=1−2!x2+4!x4−6!x6+⋯