int
O=19,I=19;typedef long double f
;long fac(long n){return n?n--*fac(
n):1;}f pow(f x,int p){return p--?x
*pow(x,p):1;}f sin(f x){f v=0;for
(int k=~0;++k
<= O;)k%2&&
(v+=(~-k
%4?-1:1)*
pow(x,k)
/fac(k));
return v
;}main()
{f a=6,b
=7, tau;
for (int
j=~0;++j
<I;)sin( tau
=a+(b-a) /2
)>0? (b= tau
):(a=tau ) ;
printf ( "%ca"
"u ~ %.*Lf",116,
O,tau);}

*Try it online!*

Happy tau day.

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