若sinθ=(m-3)/(m+5),cosθ=(4-2m)/(m+5)则实数m=

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若sinθ=(m-3)/(m+5),cosθ=(4-2m)/(m+5)则实数m=
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若sinθ=(m-3)/(m+5),cosθ=(4-2m)/(m+5)则实数m=
若sinθ=(m-3)/(m+5),cosθ=(4-2m)/(m+5)则实数m=

若sinθ=(m-3)/(m+5),cosθ=(4-2m)/(m+5)则实数m=
sinθ=(m-3)/(m+5),cosθ=(4-2m)/(m+5)
根据平方关系
sin²θ+cos²θ=1
∴(m-3)²/(m+5)²+,(4-2m)²/(m+5)²=1
∴m²-6m+9+16-16m+4m²=m²+10m+25
m²-8m=0
解得m=0或m=8