Chapter 2: Main Application
63
u
rFactor
[Action][Transformation][factor][rFactor]
Function: Factors an expression up to its roots, if any.
Syntax: rFactor (Exp/Eq/Ineq/List/Mat [ ) ]
Example: To factor
x
2
3
u
factorOut
[Action][Transformation][factor][factorOut]
Function: Factors out an expression with respect to a specified factor.
Syntax: factorOut (Exp/Eq/Ineq/List/Mat, Exp [ ) ]
Example: To factor “a” out a
x
2
+ b
x
+ c
u
combine
[Action][Transformation][combine]
Function: Transforms multiple fractions into their common denominator equivalents and reduces them, if
possible.
Syntax: combine (Exp/Eq/Ineq/List/Mat [ ) ]
Example: To transform and reduce (
x
+ 1)/(
x
+ 2) +
x
(
x
+ 3)
u
collect
[Action][Transformation][collect]
Function: Rearranges an expression with respect to a specific variable.
Syntax: collect (Exp/Eq/Ineq/List/Mat[,Exp] [ ) ]
• “
x
” is the default when you omit “[,Exp]”.
Example: To rearrange
x
2
+ a
x
+ b
x
with respect to
x
u
tExpand
[Action][Transformation][tExpand]
Function: Employs the sum and difference formulas to expand a trigonometric function.
Syntax: tExpand(Exp/Eq/Ineq/List/Mat [ ) ]
Example: To expand sin (a + b)
u
tCollect
[Action][Transformation][tCollect]
Function: Employs the product to sum formulas to transform the product of a trigonometric function into an
expression in the sum form.
Syntax: tCollect (Exp/Eq/Ineq/List/Mat [ ) ]
Example: To transform cos(a)
×
cos(b) into an expression in the sum form
u
expToTrig
[Action][Transformation][expToTrig]
Function: Transforms an exponent into a trigonometric or hyperbolic function.
Syntax: expToTrig (Exp/Eq/Ineq/List/Mat [ ) ]
Example: To transform
e
ix
into a trigonometric function (Radian mode)
u
trigToExp
[Action][Transformation][trigToExp]
Function: Transforms a trigonometric or hyperbolic function into exponential form.
Syntax: trigToExp (Exp/Eq/Ineq/List/Mat [ ) ]
Example: To transform cosh
x
into exponential form