求证sinx-cosx=根号2sin(x-π/4)_数学解答

求证sinx-cosx=根号2sin(x-π/4)

人气：365 ℃　时间：2019-12-10 05:18:05

解答

√2 sin(x-π/4)=√2(sinxcosπ/4-cosxsinπ/4)
=√2[(1/√2)sinx - (1/√2)cosx]
=sin x - cos x