1-cos^2x+sin2x怎么变成根号2sin[2X-π/4]+1_数学解答

1-cos^2x+sin2x怎么变成根号2sin[2X-π/4]+1

人气：280 ℃　时间：2020-08-31 00:45:44

解答

不对
应该是1-cos2x+sin2x
=√2(√2/2*sin2x-√2/2cos2x)+1
=√2(sin2xcosπ/4-cos2xsinπ/4)+1
=√2sin(2x-π/4)+1