Please give a step by step solution for drawing the sine curve y=sin(2pix) .Here period =1s.   How we plot  x and y axis?

Answer :

y= sin(2πx)...graph 
since period for  sin x is 2π so period for Y is 1.....
 now put -π=2πx
so x=-1/2 here value of y=0
-π/2=2πx
⇒x=-1/4 here value of y=-1
⇒0=2πx
⇒x=0 here value of y=0
⇒π/2=2πx
⇒x=1/4 here value of y=1
π=2πx
so x=1/2......here value of y=0

so graph draw between domain [-1/2,1/2] graph shape always same as sin function since it is depend only on total out of fn ........