Question

срочнооооо Вычислите: sin(pi/8)

Answer 1

$sinfrac{pi}{8}=sqrt{sin^2frac{pi}{8}}=sqrtfrac{1-cosfrac{pi}{4}}{2}}=sqrt{frac{1-frac{sqrt2}{2}}{2}}=sqrt{frac{2-sqrt2}{4}}=frac{sqrt{2-sqrt2}}{2}\\P.S.; ; sin^2 alpha = frac{1-cos2 alpha }{2}$