Construct the graph of sin(x) with x ranging in [0,2 ]

> plot(sin(x),x=0..2*Pi,scaling=constrained);

Draw a circle given by the parametric equations

x=cos(t),y=sin(t), t in [0,2 ]

> plot([cos(t),sin(t),t=0..2*Pi],scaling=constrained,axes=none);

Draw the graphs of the first six chebyshev polynomials in the interval [-1,1]

> m:=[cos(x),cos(n*x),x=0..Pi];

> plot({m$n=1..6},axes=none);

Draw this pretty leaf:

> 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);

Draw the graphs of the polynomials given by the binomial equations

,k=0,...,100

> restart;

> m:=[x,binomial(100,k)*x^(100-k)*(1-x)^k,x=0..1]:

> plot({m$k=0..100},axes=none,color=red);

Construct this pattern of the "sunflow":

> restart;

> 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,color=red):

> 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,color=red):

> with(plots):

> display(a,b);

Construct he graph given in polor coordinates by r =cos ,t in [0,4 ]

> plot(cos(7*t/2)+1/4,t=0..4*Pi,coords=polar,axes=none,scaling=constrained);

Construct this interesting drawing:

> plot(2-cos(3*t)-cos(31*3*t/32),t=0..64*Pi,coords=polar,numpoints=1000,axes=none,scaling=constrained);

> plot(2-cos(7*t)-cos(31*7*t/32),t=0..64*Pi,coords=polar,numpoints=1000,axes=none,scaling=constrained);

Draw this interesting pattern:

> plot(100+t+15*cos(3.05*t),t=0..200,coords=polar,axes=none,scaling=constrained);

Construct a gif file animating the function f(x,t)=sin(x+t) and include the gif in your web page

> with(plots):

> animate(sin(x+t),x=-8..8,t=0..2*Pi,frames=50,scaling=constrained,axes=none) ;