设函数f(x)=sin(2x+π/4)+cos(2x+π/4)利用 辅助角公式进行转换可得f(x)=
问题描述:
设函数f(x)=sin(2x+π/4)+cos(2x+π/4)利用 辅助角公式进行转换可得f(x)=
答
√2[sin(2x+π/4)*√2/2 + cos(2x+π/4)√2/2 ]
=√2[sin(2x+π/4)cosπ/4+ cos(2x+π/4)sinπ/4]
=√2sin(2x+π/2)
=√2cos2x