Texas Instruments TI-89 Titanium Short User Manual page 259

tCollect()
MATH\Algebra\Trig menu
expression1
tCollect(
Returns an expression in which products and
integer powers of sines and cosines are converted
to a linear combination of sines and cosines of
multiple angles, angle sums, and angle
differences. The transformation converts
trigonometric polynomials into a linear
combination of their harmonics.
Sometimes
when the default trigonometric simplification
does not.
transformations done by
applying
or vice versa, in two separate steps simplifies an
expression.
tExpand()
MATH\Algebra\Trig menu
expression1
tExpand(
Returns an expression in which sines and cosines
of integer-multiple angles, angle sums, and angle
differences are expanded. Because of the identity
(sin(x))
equivalent results. Consequently, a result might
differ from a result shown in other publications.
Sometimes
when the default trigonometric simplification
does not.
transformations done by
applying
or vice versa, in two separate steps simplifies an
expression.
Note: Degree-mode scaling by p/180 interferes
with the ability of
expandable forms. For best results,
should be used in Radian mode.
Text
CATALOG
promptString
Text
Displays the character string
box.
If used as part of a
promptString
used as a standalone instruction,
dialog box to display the string.
Then
See If, page 196.
timeCnv()
CATALOG
seconds
timeCnv(
Converts seconds to units of time that can be
more easily understood for evaluation. The list is
in { days,hours,minutes,seconds
Note: See also
Appendix A: Functions and Instructions
) ⇒
expression
will accomplish your goals
tCollect()
tends to reverse
tCollect()
tExpand()
to a result from
tExpand()
) ⇒
expression
2 2
+(cos(x)) =1, there are many possible
will accomplish your goals
tExpand()
tends to reverse
tExpand()
tCollect()
to a result from
tCollect()
to recognize
tExpand()
promptString
Dialog...EndDlog block
is displayed inside that dialog box. If
) ⇒
list
} format.
and
checkTmr()
tCollect((cos(a))^2) ¸
tCollect(sin(a)cos(b)) ¸
. Sometimes
,
tCollect()
tExpand(sin(3f)) ¸
tExpand(cos(aì b)) ¸
. Sometimes
,
tExpand()
tExpand()
Text "Have a nice day." ¸
dialog
,
creates a
Text
timeCnv(
.
startTmr()
sin(aì b)+sin(a+b)
4ø sin(f)ø (cos(f))ñ ì sin(f)
cos(a)ø cos(b)+sin(a)ø sin(b)
152442117)
{1764
cos(2ø a) + 1
2
2
Done
9 1 57}
253