Texas Instruments TI-89 Titanium User Manual

776 Appendix A: Functions and Instructions
csc
L1
() MATH/Trig menu
csc
-1
( expression1 ) ⇒ expression
csc
-1
( list1 ) ⇒ list
Returns the angle whose cosecant is expression1 or
returns a list containing the inverse cosecants of
each element of
list1 .
Note: The result is returned as either a degree or
radian angle, according to the current angle mode.
In Degree angle mode:
csc
L1
(1) ¸ 90
In Radian angle mode:
csc
L1
({1,4,6}) ¸
p
2
sin
L1
(1/4) sin
L1
(1/6)
csch() MATH/Hyperbolic menu
csch( expression1 ) ⇒ expression
csch( list1 ) ⇒ list
Returns the hyperbolic cosecant of expression1 or
returns a list of the hyperbolic cosecants of all
elements of
list1 .
csch(3) ¸
1
sinh(3)
csch({1,2.1,4}) ¸
1
sinh(1)
.248…
1
sinh(4)
csch
L1
() MATH/Hyperbolic menu
csch
L1
( expression1 ) ⇒ expression
csch
L1
( list1 ) ⇒ list
Returns the inverse hyperbolic cosecant of
expression1 or returns a list containing the inverse
hyperbolic cosecants of each element of
list1 .
csch
L1
(1) ¸ sinh
-1
(1)
csch
L1
({1,2.1,3}) ¸
sinh
L1
(1) .459… sinh
L1
(1/3)
cSolve() MATH/Algebra/Complex menu
cSolve( equation , var ) ⇒ Boolean expression
Returns candidate complex solutions of an equation
for
var . The goal is to produce candidates for all real
and non-real solutions. Even if
equation is real,
cSolve() allows non-real results in real mode.
Although the TI-89 Titanium/Voyage™ 200
processes all undefined variables that do not end
with an underscore (_) as if they were real,
cSolve()
can solve polynomial equations for complex
solutions.
cSolve(x^3=ë 1,x) ¸
solve(x^3=ë 1,x)
¸
cSolve() temporarily sets the domain to complex
during the solution even if the current domain is
real. In the complex domain, fractional powers
having odd denominators use the principal rather
than the real branch. Consequently, solutions from
solve() to equations involving such fractional
powers are not necessarily a subset of those from
cSolve() .
cSolve(x^(1/3)=ë 1,x) ¸ false
solve(x^(1/3)=ë 1,x)
¸ x = ë 1
cSolve() starts with exact symbolic methods.
Except in
EXACT mode, cSolve() also uses
iterative approximate complex polynomial factoring,
if necessary.
Note: See also
cZeros() , solve() , and zeros() .
Note: If
equation is non-polynomial with functions
such as
abs() , angle() , conj() , real() , or imag() ,
you should place an underscore _
@ ¥ q
H 2 q ) at the end of var . By default, a
variable is treated as a real value.
Display
Digits mode in Fix 2 :
exact(cSolve(x^5+4x^4+5x
^3ì6xì3=0,x))
¸
cSolve(ans(1),x)
¸
If you use var _ , the variable is treated as complex.
z is treated as real:

Texas Instruments TI-89 Titanium Specifications

General

Brand	Texas Instruments
Model	TI-89 Titanium
Category	Calculator
Language	English