√2/2sin2x+√2/2(sin^2x-cos^2x)怎么化简成sin（2x-π/4）_数学解答

√2/2sin2x+√2/2(sin^2x-cos^2x)怎么化简成sin（2x-π/4）

人气：425 ℃　时间：2020-06-25 20:37:52

解答

√2/2sin2x+√2/2(sin^2x-cos^2x)
=√2/2sin2x-√2/2cos2x
=sin2xcosπ/4-cos2xsinπ/4
=sin(2x-π/4)