Question

2sin x/4=✓2 2cos x/4=✓2​

Answer 1

///////////////////////////////////////////

Answer 2

$1)2Sinfrac{x}{4}=sqrt{2} \\Sinfrac{x}{4}=frac{sqrt{2} }{2}\\frac{x}{4}=(-1)^{n}arcSinfrac{sqrt{2} }{2}+pi n,nin z\\frac{x}{4}=(-1)^{n}frac{pi }{4}+pi n,nin z\\x=(-1)^{n}pi +4pi n,nin z$

$2)2Cosfrac{x}{4}=sqrt{2}\\Cosfrac{x}{4}=frac{sqrt{2} }{2}\\frac{x}{4}=pm arcCosfrac{2}{2}+2pi n,nin z\\frac{x}{4} =pmfrac{pi }{4}+2pi n,nin z\\x=pmpi+8pi n,nin z$