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设tanA= Sina-cosa / Sina+cosa且0

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设tanA= Sina-cosa / Sina+cosa且0
设tanA= Sina-cosa / Sina+cosa且0
2(sinA)^2=1-cos2A
=1-[1-(tanA)^2]/[1+(tanA)^2]
=2(tanA)^2/[1+(tanA)^2]
=2[(Sina-cosa )/(Sina+cosa)]^2/{1+[(Sina-cosa )/(Sina+cosa)]^2}
=2(Sina-cosa )^2/[(Sina+cosa)^2+(Sina-cosa )^2]
=2(Sina-cosa )^2/[(1+2Sinacosa)+(1-2Sinacosa )]
=(Sina-cosa )^2
即2(sinA)^2=(Sina-cosa )^2
√2sinA=|Sina-cosa|