设函数f(x)=sin(πx⼀4-π⼀6)-2cos눀πx⼀8+1

2025-02-26 09:52:05
推荐回答(1个)
回答1:

f(x)=sin(πx/4-π/6)-2cos²πx/8+1
=sin(πx/4-π/6)-(2cos²πx/8-1)
=sinπx/4cosπ/6-cosπx/4sinπ/6-cosπx/4
=√3/2*sinπx/4-3/2cosπx/4
=√3(1/2sinπx/4-√3/2*cosπx/4)
=√3sin(πx/4-π/3)
T=2π/(π/4)=8