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

> restart;

> plot(2-cos(7*t)-cos(31*7*t/32),t=0..64*Pi,coords=polar,axes=none,scaling=constrained,
color=blue,numpoints=200);