设tan[x+y]=5分之2,tan[y-4分之π,求]tan[x+4分之π的值]
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设tan[x+y]=5分之2,tan[y-4分之π,求]tan[x+4分之π的值]
设tan[x+y]=5分之2,tan[y-4分之π,求]tan[x+4分之π的值]
设tan[x+y]=5分之2,tan[y-4分之π,求]tan[x+4分之π的值]
题目不全
已知tan(x+y)=2/5,tan(y-π/4)=1/4,求tan(x+π/4)的值
解
令a=x+y,b=x+π/4
tan(x+π/4)
=tan[(x+y)-(y-π/4)]
=tan(a-b)
=(tana-tanb)/(1-tanatanb)
=(2/5-1/4)/(1-(2/5)(1/4))
=(3/20)/(1-2/20)
=1/6
设tan[x+y]=5分之2,tan[y-4分之π,求]tan[x+4分之π的值]
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