tan(arcsin1/3)=

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tan(arcsin1/3)=
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tan(arcsin1/3)=
tan(arcsin1/3)=

tan(arcsin1/3)=
设sina=1/3=x/y,即y=3x,
so tana=x/{根号下(y方-x方)},将y代入前式即tana=x方/根号下【(3x)方-x方】}=x方/(根号下9x方-x方)=x方/根号下(8x方)=1/根号8=1/(2倍根号2)=(根号2)/4