You can put this solution on YOUR website! It's a pure sine wave that is phase-shifted by
Make a chart with 3 headings:
x --------- x + pi/4 ---------- sin( x + pi/4 )
------------------------------------------
0 --------- 0 + pi/4 ---------- sin( pi/4 )
pi/4 ------ pi/4 + pi/4 -------- sin( pi/2 )
pi/2 ------ pi/2 + pi/4 -------- sin( ( 3*pi)/4 )
Keep on going and calculate the sines
You will end up with the
phase-shifted sine wave.
Here's a plot of both and