Question

sin(п+t)+cos(п/2)+t)= корень из 2

Answer 1

$Sin(pi +t)+Cos(frac{pi }{2} +t)=sqrt{2}\\-Sint-Sint=sqrt{2} \\-2Sint=sqrt{2}\\Sint=-frac{sqrt{2} }{2}\\t=(-1)^{n}arcSin(-frac{sqrt{2} }{2})+pi n,nez\\t=(-1)^{n}(-frac{pi }{4})+pi n,nez\\t=(-1)^{n+1}frac{pi }{4}+pi n,nez$