Question

sin(2x-$frac{ pi }{4}$)=sin1125°

Answer 1

sin(2x-pi/4)=sin(6pi+pi/4)
sin(2x-pi/4)=sin(pi/4)
sin(2x-pi/4)=√2/2
2x-pi/4= pi/4+2pi/k     2x=pi/2+2pi/k      x=pi/4+pi/k

2x-pi/4= 3pi/4+2pi/k   2x= pi+2pk          x= pi/2+pi/k