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求下列函数的反函数(需要详细过程)
(1)y=5sin(x+π/3) (-3π/4≤x≤π/4)
(2)y=1/2arctan(x/3)
人气:257 ℃ 时间:2020-06-04 06:24:36
解答
-3π/4≤x≤π/4-5π/12≤x+π/3≤7π/12x≤π/6时,x+π/3=arcsin(y/5)x>π/6时,y=5sin(x+π/3) =5sin(2π/3-x)2π/3-x=arcsin(y/5)所以,反函数是:y≤π/6时,y=arcsin(x/5)-π/3y>π/6时,y=2π/3-arcsin(y/5)2)y=1/...
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