for the true proof you need to use matrice but this is acceptable : ##sin(a+b) = sin(a)cos(b)+cos(a)sin(b)## ##sin(pi/2+x) = sin(pi/2)*cos(x)+cos(pi/2)*sin(x)## ##sin(pi/2) = 1## ##cos(pi/2) = 0 ## So we have : ##sin(pi/2+x) = cos(x)##
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