(a*sin альфа + b*cos альфа)2+(a * cos альфа - b*sin альфа)2 нужно упростить

2(a*sin(a) + b*cos(a)) + 2( a*cos(a) - b*sin(a)) = 2√2cos(a - π\\4) * (a - b)2 ( a*sin(a) + b*cos(a) + a*cos(a) - b*sin(a)) = 2(a(sin(a) + cos(a)) + b(cos(a) - sin(a)))1) sin(a) + cos(a) = sin(a) + sin(π\\2 - a) = √2cos(a - π\\4)2) cos(a) - sin(a) = cos(a) - cos(π\\2 - a) = -√2cos(a - π\\4)3) 2(a(√2cos(a - π\\4)) + b(-√2cos(a - π\\4))) = 2(a(√2cos(a - π\\4)) - b(√2cos(a - π\\4))) = 2√2cos(a - π\\4) * (a - b)