Question

1)sin (x/3+п/4)=0
2)cos(x/2-п/2)=1​

Answer 1

1)

$sin(\frac{x}{3} +\frac{\pi }{4} )=0 ,\\\frac{x}{3} +\frac{\pi }{4}=\pi n,\\\frac{x}{3} =-\frac{\pi }{4}+\pi n|*3\\x=-\frac{3\pi }{4}+3\pi n$,n∈Z

2)

$cos(\frac{x}{2} -\frac{\pi }{2} )=1\\\frac{x}{2} -\frac{\pi }{2}=2\pi n |*2\\x-\pi =4\pi n\\x=\pi +4\pi n$n∈Z