Texas Instruments TINSPIRE Reference Guide - Page 26

arccos

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cos( ) cos(squareMatrix1) ⇒ squareMatrix In Radian angle mode: Returns the matrix cosine of squareMatrix1. This is not the same as calculating the cosine of each element. When a scalar function f(A) operates on squareMatrix1 (A), the result is calculated by the algorithm: Compute the eigenvalues (li) and eigenvectors (Vi) of A. squareMatrix1 must be diagonalizable. Also, it cannot have symbolic variables that have not been assigned a value. Form the matrices: μ key Then A = X B X/and f(A) = X f(B) X/. For example, cos(A) = X cos(B) X/ where: cos(B) = All computations are performed using floating-point arithmetic. cos /( ) cos/(Value1) ⇒ value cos/(List1) ⇒ list In Degree angle mode: μ key cos/(Value1) returns the angle whose cosine is Value1. cos/(List1) returns a list of the inverse cosines of each element of List1. Note: The result is returned as a degree, gradian or radian angle, according to the current angle mode setting. Note: You can insert this function from the keyboard by typing arccos(...). In Gradian angle mode: In Radian angle mode: cos/(squareMatrix1) ⇒ squareMatrix Returns the matrix inverse cosine of squareMatrix1. This is not the same as calculating the inverse 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: £ ¡ ¢ To see the entire result, press and then use and to move the cursor. 20 TI-Nspire™ Reference Guide

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20
TI-Nspire™ Reference Guide
cos(
squareMatrix1
)
⇒
squareMatrix
Returns the matrix cosine of
squareMatrix1
. This is not the same as
calculating the cosine of each element.
When a scalar function f(A) operates on
squareMatrix1
(A), the
result is calculated by the algorithm:
Compute the eigenvalues (
l
i
) and eigenvectors (V
i
) of A.
squareMatrix1
must be diagonalizable. Also, it cannot have symbolic
variables that have not been assigned a value.
Form the matrices:
Then A = X B X
/
and f(A) = X f(B) X
/
. For example, cos(A) = X cos(B)
X
/
where:
cos(B) =
All computations are performed using floating-point arithmetic.
In Radian angle mode:
cos
/
()
μ
key
cos
/
(
Value1
)
⇒
value
cos
/
(
List1
)
⇒
list
cos
/
(
Value1
)
returns the angle whose cosine is
Value1
.
cos
/
(
List1
)
returns a list of the inverse cosines of each element of
List1
.
Note:
The result is returned as a degree, gradian or radian angle,
according to the current angle mode setting.
Note:
You can insert this function from the keyboard by typing
arccos(
...
)
.
In Degree angle mode:
In Gradian angle mode:
In Radian angle mode:
cos
/
(
squareMatrix1
)
⇒
squareMatrix
Returns the matrix inverse cosine of
squareMatrix1
. This is not the
same as calculating the inverse 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:
To see the entire result, press
£
and then use
¡
and
¢
to
move the cursor.
cos()
μ
key