Question 1168755
<br>
{{{sin(x)=sqrt(2)/2}}} means a reference angle of 45 degrees, or pi/4.  That means an angle of 2k(pi)+pi/4 or 2k(pi)+3pi/4.<br>
8pi is an integer multiple of 2pi; the smallest angle greater than 8pi with a sine of sqrt(2)/2 is<br>
{{{8pi+pi/4 = 33pi/4}}}<br>