Question

решить пример для 11 класса

Answer 1

$sqrt{2} *sin(2pi*50* frac{1}{1200}+ frac{pi}{12} )= sqrt{2} *sin(frac{2pi*50}{1200}+ frac{pi}{12} )=$

$= sqrt{2} *sin(frac{100*pi}{100*12}+ frac{pi}{12} ) = sqrt{2} *sin(frac{pi}{12}+ frac{pi}{12} ) = sqrt{2} *sin(frac{pi+pi}{12})=$

$= sqrt{2} *sin(frac{2*pi}{2*6}) = sqrt{2} *sin(frac{pi}{6})= sqrt{2}*sin( frac{180^0}{6} ) = sqrt{2}*sin(30^0)=$

$= sqrt{2}* frac{1}{2}= frac{ sqrt{2} }{2}$