将cosx在x=π⼀4处展开成幂级数,求详解

2025-03-24 02:19:47
推荐回答(1个)
回答1:

  cosx = cos[(x-π/4)+π/4]
     = cos[(x-π/4)]cos(π/4)-sin[(x-π/4)]sin(π/4)
     = (√2/2)*{cos[(x-π/4)]-sin[(x-π/4)]},
然后利用 sinx 和 cosx 的展开式,……(留给你)