Texas Instruments TI-89, TI-92

Appendix A: Functions and Instructions 425

8992APPA.DOC TI-89 / TI-92 Plus: Appendix A (US English) Susan Gullord Revised: 02/23/01 1:48 PM Printed: 02/23/01 2:21 PM Page 425 of 132

coshê(squareMatrix1) ⇒ squareMatrix

Returns the matrix inverse hyperbolic cosine

of squareMatrix1. This is not the same as

calculating the inverse hyperbolic cosine of

each element. For information about the

calculation method, refer to cos().

squareMatrix1 must be diagonalizable. The

result always contains floating-point

numbers.

In Radian angle mode and Rectangular

complex format mode:

coshê([1,5,3;4,2,1;6,ë2,1])













2.525…+1.734…øi ë.009…ì1.490…øi …

.486…ì.725…øi 1.662…+.623…øi …

ë.322…ì2.083…øi 1.267…+1.790…øi …

crossP() MATH/Matrix/Vector ops menu

crossP(list1, list2) ⇒ list

Returns the cross product of list1 and list2 as

a list.

list1 and list2 must have equal dimension, and

the dimension must be either 2 or 3.

crossP({a1,b1},{a2,b2}) ¸

{0 0 a1øb2ìa2øb1}

crossP({0.1,2.2,ë5},{1,ë.5,0})

{ë2.5 ë5. ë2.25}

crossP(vector1, vector2) ⇒ vector

Returns a row or column vector (depending

on the arguments) that is the cross product

of vector1 and vector2.

Both vector1 and vector2 must be row vectors,

or both must be column vectors. Both

vectors must have equal dimension, and the

dimension must be either 2 or 3.

crossP([1,2,3],[4,5,6]) ¸

[ë3 6 ë3]

crossP([1,2],[3,4]) ¸

[0 0 ë2]

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 / TI-92 Plus processes all

undefined variables as if they were real,

cSolve() can solve polynomial equations for

complex solutions.

cSolve(x^3=ë1,x) ¸

(

x^3=ë

)

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)=ë1,x) ¸false

solve(x^(1/3)=ë1,x) ¸x = ë1