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 [0,4 　p ]
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

> w:=1+cos(t)/2:

> z:=t/6-sin(2*t)/12:

> x:=w*cos(z):

> y:=w*sin(z):

> plot ([x,y,t=0..12*Pi],axes=none,scaling=constrained);