sinx-cosx≠0怎么求出根号sin(x-π/4)≠0

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sinx-cosx≠0怎么求出根号sin(x-π/4)≠0

sinx-cosx≠0怎么求出根号sin(x-π/4)≠0
sinx-cosx≠0怎么求出根号sin(x-π/4)≠0

sinx-cosx≠0怎么求出根号sin(x-π/4)≠0
sinx-cosx≠0
√2(√2/2sinx-√2/2cosx)≠0
√2/2sinx-√2/2cosx≠0
sin(x-π/4)≠0

sin(x- π/4)=sinxcosπ/4-cosxsinπ/4=根号2/2(sinx-cosx)
因为sinx-cosx≠0,所以原式不等于0.