Appendix A: Functions and Instructions
795
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:
1.
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.
2.
Form the matrices:
B =
l
1 0 … 0
0
l
2 … 0
0 0 … 0
0 0 …
l
n
and X = [V
1
,V
2
, … ,V
n
]
3.
Then A = X B X
ê
and f(A) = X f(B) X
ê
. For
example, cos(A) = X cos(B) X
ê
where:
cos (B) =
1
2
cos( )
0
0
0
cos( )
0
0
0
0
0
0
cos( )
n
λ
λ
λ
…
…
…
…
All computations are performed using floating-
point arithmetic.
In Radian angle mode:
cos([1,5,3;4,2,1;6,
ë
2,1])
¸
.212… .205… .121…
.160… .259… .037…
.248…
ë
.090… .218…
cos
ê
()
2 R
key
cos
ê
(
expression1
)
⇒
⇒
⇒
⇒
expression
cos
ê
(
list1
)
⇒
⇒
⇒
⇒
list
cos
ê
(
expression1
)
returns the angle whose cosine
is
expression1
as an expression.
cos
ê
(
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.
In Degree angle mode:
cos
ê
(1)
¸
0
In Gradian angle mode:
cos
ê
(0)
¸
100
In Radian angle mode:
cos
ê
({0,.2,.5})
¸
{
p
2 1.369
...
1.047
...
}
cos
ê
(
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 mode:
cos
ê
([1,5,3;4,2,1;6,
ë
2,1])
¸
Summary of Contents for Voyage 200
Page 36: ...Getting Started 36 D B D B Press Result ...
Page 45: ...Getting Started 45 3 0 D B D D B D Press Result ...
Page 46: ...Getting Started 46 D 2 0 0 2 D B Scroll down to October and press Press Result ...
Page 60: ...Getting Started 60 B D Press Result ...
Page 139: ...Previews 139 8 Complete the operation Press 2 d Steps and keystrokes Display 5 f 2 ...
Page 453: ...Differential Equation Graphing 453 ...
Page 468: ...Tables 468 ...
Page 777: ...Activities 777 ...
