19990401
u solve
Function: Solves an equation.
Syntax: solve( Exp [,variable] [ ) ]
solve( {Exp-1,..., Exp-n}, {variable-1,...,variable-n} [ ) ]
Example To solve AX + B = 0 for X
1(TRNS)e(solve)av(A)v+
al(B)!.(=)aw
Example To solve simultaneous linear equation 3X + 4Y = 5, 2X – 3Y = – 8
1(TRNS)e(solve)!*( { )
da+(X)+ea-(Y)!.(=)f,
ca+(X)-da-(Y)!.(=)-i
!/( } ),!*( { )a+(X), X = – 1
a-(Y)!/( } )w Y = 2
• X is the default when no variable is specified.
u tExpand (tExpnd)
Function: Employs the addition theorem to expand a trigonometric function.
Syntax: tExpand( Exp [ ) ]
Example To employ the addition theorem to expand sin(A+B)
1(TRNS)f(TRIG)b(tExpnd)
s(av(A)+al(B)w cos(B) • sin(A) + sin(B) • cos(A)
u tCollect (tCollc)
Function: Employs the addition theorem to transform the product of a trigonometric
function to a sum.
Syntax: tCollect( Exp [ ) ]
Example To employ the addition theorem to transform sin(A)cos(B) to
trigonometric sum.
1(TRNS)f(TRIG)c(tCollc)
sav(A)cal(B)w
7-1-8
Using the CAS (Computer Algebra System) Mode
sin (A + B)
2
sin (A – B)
2
+
– B
A
X =
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