proof?sinx+cosx=√2 sin(x+pi/4)
We will use trigonometric addition formulas on the right side of an equation:\(\sqrt{2} (sinx*cos \frac{ \pi }{4} +cosx*sin \frac{ \pi }{4})= =\sqrt{2}(sin x* \frac{ \sqrt{2} }{2} + cosx * \frac{ \sqrt{2} }{2}=\)=sinx + cos x.Equation is true.
