1.construct the graph of sin(x) with x ranging in [0,2 p ].

2.Draw a circle given by the parametric equations x=cos(t),y=sin(t),t e [0,2p]
3.Draw the graphs of the first six Chebyshev polynomials in the interval [-1,1].
4.Draw this pretty leaf
5.Draw the graphs of the polynomials given by the binomial expansions

6.Construct this pattern of the "sunflower"　
7.Construct the graph given in polar coordinates by r=cos(7t/2)+1/4 ,t e [0,4p ]
8.Construct this interesting drawing
9.Construct this interesting drawing
10.Construct this interesting pattern
11.Construct a gif file animating the function f(x,t)=sin(x+t) and include the gif in your web page.
12.因式分解2^257-1

> r:=exp(t):

> m:=64:

> a:=plot([[r*cos(t+2*Pi*k/m),r*sin(t+2*Pi*k/m),t=3..5]$k=1..m],scaling=constrained
,axes=none):

> b:=plot([[r*cos(t+2*Pi*k/m),-r*sin(t+2*Pi*k/m),t=3..5]$k=1..m],scaling=constrained,axes=none):

> with (plots):

> display(a,b);