General solution:# x= (2n pi+pi/4) and x=(2n pi+(3pi)/4)#
Explanation:
#sinx=sqrt2/2 ;#. We know #sin(pi/4)=sqrt2/2 and sin(pi-pi/4)=sqrt2/2 or sin ((3pi)/4)=sqrt2/2 # In interval #0<=x<=2pi ; x= pi/4 , (3pi)/4#
General solution # x= (2n pi+pi/4) and x=(2n pi+(3pi)/4)# Where # n# is an integer.[Ans]