高中三角函数化简问题,求解

√2/2sin2x+√2/2(sin^2x-cos^2x)怎么化简成sin(2x-π/4)
2025-06-23 03:46:31
推荐回答(1个)
回答1:

解:
√2/2sin2x+√2/2(sin^2x-cos^2x)

=√2/2sin2x-√2/2cos2x

=sin2xcosπ/4-cos2xsinπ/4

=sin(2x-π/4)