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Functions and commands 421
sylvester Returns the Sylvester matrix of two polynomials.
sylvester(Poly,Poly,Var)
Example:
sylvester(x^2-1,x^3-1,x) gives [[1,0,-
1,0,0],[0,1,0,-1,0],[0,0,1,0,-1],[1,0,0,-
1,0],[0,1,0,0,-1]]
table Defines an array where the indexes are strings or real
numbers.
table(SeqEqual(index_name=element_value))
tail Returns a list or sequence or string without its first element.
tail(Lst or Seq or Str)
Example:
tail([3,2,4,1,0]) gives [2,4,1,0]
TAN Tangent: tan(x).
tan(value)
tan2cossin2 Returns an expression with tan(x) rewritten as (1–cos(2*x))/
sin(2*x).
tan2cossin2(Expr)
Example:
tan2cossin2(tan(x)) gives (1-cos(2*x))/sin(2*x)
tan2sincos2 Returns an expression with tan(x) rewritten as sin(2*x)/
(1+cos(2*x)) .
tan2sincos2(Expr)
Example:
tan2sincos2(tan(x)) gives sin(2*x)/(1+cos(2*x)
tangent With a curve as argument, draws the tangent line to the curve
at point A. With a surface as argument, draws the tangent
plane to the surface at point A.
tangent(Curve or surface(C),Pnt(A))
Example:
tangent(plotfunc(x^2),GA) draws the tangent to the
graph of y=x^2 through point A
THEN Used in programming to introduce a statement dependent on
a conditional statement.