f(x)=sin(x) 的逆函数 y=asin(x),定义域[-1,1],值域[-pi/2, pi/2]+n*pi, n=0
g(x)=cos(x) 的逆函数 y=acos(x),定义域[-1,1],值域[0, pi]+n*pi, n=0
t(x)=tan(x) 的逆函数 y=atan(x),定义域R,值域[-pi/2, pi/2]+n*pi, n=0
基本关系式: sin(x)=cos(pi/2-x), sin(x)^2+cos(x)^2=1, tan(x/2)=sin(x)/(1+cos(x))
cos(acos(x))=x, sin(asin(x)=x, tan(atan(x))=x
复合函数,取定义域[0, pi/2]
sin(acos(x)) = sqrt(1-cos(acos(x))^2)=sqrt(1-x^2)
cos(asin(x)) = sqrt(1-sin(asin(x))^2)=sqrt(1-x^2)
tan(asin(x))=sin(asin(x))/cos(asin(x))=x/sqrt(1-x^2)
asin(cos(x))=y, cos(x)=sin(y), y=pi/2-x
acos(sin(x))=y, sin(x)=cos(y), y=pi/2-x
asin(tan(x))=?
标签:asin,cos,三角函数,sqrt,tan,pi,sin From: https://www.cnblogs.com/weixicai/p/17567991.html