求满足sinx-cosx=√ 2/4的x的集合

sinx-cosx=√2sin(x-π/4） =√ 2/4所以sin(x-π/4）=1/4所以x-π/4=arcsin(1/4)+2kπ或者x-π/4=-arcsin(1/4)+(2k+1)π所以x=arcsin(1/4)+π/4+2kπ或者x=-arcsin(1/4)++π/4+(2k+1)π其中k属于整数...