\def{real x00=randint(50..70)}
\def{real y00=randint(20..40)}
\def{real x0= floor(1000*\x00*pi/180)/1000}
\def{real y0= floor(1000*\y00*pi/180)/1000}
\def{real incert1=randint(1..15)/100}
\def{real incert2= randint(1..15)/100}
\def{real incer1= (floor(1000* \incert1*pi/180)+1)/1000}
\def{real incer2=  (floor(1000* \incert2*pi/180)+1)/1000}
\def{real r1=  \incer1}
\def{real r2=  \incer2}
\def{text f=sin((x+y)/2)/sin(y/2)}
\def{function f1=cos((x+y)/2)/(2*sin(y/2))}
\def{function f2=sin(y+x/2)/(2*sin(y/2)^2)}
\def{real f0=evalue(\f,x=\x0,y=\y0)}
\def{real f00=rint(1000*\f0)/1000}
\def{real maj=(floor(100*(cos((\x0-\r1+\y0-\r2)/2)/(2*sin((\y0-\r2)/2))
*\incert1 +
sin(\y0+\r2+(\x0+\r1)/2)/(2*sin((\y0-\r2)/2)^2)*\incert2 )+1))/100}
\def{real rel=floor(100*\maj/\f00)+1}

<div class="exemple"><span class="exemple"> Exemple : </span>\reload{<img src="gifs/doc/etoile.gif" alt="rechargez" width="20" height="20">}
Au minimum de dviation \(D_m), l'indice \(n) d'un prisme d'angle au sommet  d'angle \(A) est donn par \(n=\frac{\sin\frac{D_m+A}{2}}{\sin \frac{A}{2}}). 
Calculer l'incertitude relative de l'indice  en prenant  \(D_m=\x00 ) degrs, \(A= \y00) degrs, incertitude sur \(D_m) = \incert1 degrs,  incertitude sur \( A )= \incert2 degrs.

\fold{solprisme}{<span class="dem"> Solution</span>}</div>