Question

simplificando a expressao cos (180 -X) -5 sen (360 + x ) obtem se

Answer 1

$\mathrm{\cos{(180-x)}-5\sin{(360+x)}=}\\ \mathrm{=\cos{180}\cos{x}+\sin{180}\sin{x}-5(\sin{360}\cos{x}+\cos{360}\sin{x})=}\\ \mathrm{=(-1).\cos{x}+0.\sin{x}-5(0.\cos{x}+1.\sin{x})=}\\ \mathrm{=-\cos{x}-5\sin{x}=\boxed{\mathbf{-(\cos{x}+5\sin{x})}}}$