tanα=m,则sin(α+3π)+cos(π+α)/sin(-α)-cos(π+α)等于?

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tanα=m,则sin(α+3π)+cos(π+α)/sin(-α)-cos(π+α)等于?

sin(α+3π)+cos(π+α)/sin(-α)-cos(π+α)
=-sin(α)-cos(α) / -sin(α)+cos(α)
= -tan(α)-1 / -tan(α)+1
=(-m-1)/(-m+1)
=(m+1)/(m-1)