arccos(x)=arctan(x)求解x的值.

arccos(x)=arctan(x)求解x的值.
arccos(x)=arctan(x)求解x的值.

arccos(x)=arctan(x)求解x的值.
令arccosx=arctanx=t,
则有cost=tant=x,即sint/cost=sint/x=x,
可得sint=x^2.
根据(sint)^2+(cost)^2=1得
x^2+x-1=0,
解得x=(-1+根号5)/2 或 x=(-1-根号5)/2.