Sin x + cos x +√2= 2√2cos^2(x/2-п/8)
2√2cos^2(x/2-п/8)=2√2(1+cos(x-pi/4))/2 = √2(1+cos(x-pi/4))=
=√2+<span>√2cos(x)*cos(pi/4)</span><span>+√2sin(x)*sin(pi/4)) </span>= √2+√2cos(x)*√2/2+√2sin(x)*√2/2 =
= √2+cos(x)+sin(x) - доказано
S = πR² = π·16≈3·16 = 48(м²)