COS

Type:

Analytic Function

 

 

 

 

 

 

 

 

 

 

Description:

Cosine Analytic Function: Returns the cosine of the argument.

 

For real arguments, the current angle mode determines the number’s interpretation as an angle,

 

unless the angular units are specified.

 

 

 

 

 

 

 

 

 

 

For complex arguments, cos(x + iy) = cosx coshy i sinx sinhy.

 

If the argument for COS is a unit object, then the specified angular unit overrides the angle mode

 

to determine the result. Integration and differentiation, on the other hand, always observe the

 

angle mode. Therefore, to correctly integrate or differentiate expressions containing COS with a

 

unit object, the angle mode must be set to Radians (since this is a “neutral” mode).

Access:

T

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Flags:

Numerical Results (–3), Angle Mode (–17, –18)

 

 

 

 

 

 

 

 

Input/Output:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Level 1/Argument 1

 

 

 

 

 

 

 

Level 1/Item 1

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

z

 

 

 

 

 

cos z

 

 

 

 

 

 

'symb'

 

 

 

 

 

'COS(symb)'

 

 

 

 

 

x_unitangular

 

 

 

 

 

cos (x_unitangular)

 

ACOS, SIN,

 

 

 

 

 

 

 

 

 

 

 

 

See also:

TAN

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

COSH

Analytic Function

 

 

 

 

 

 

 

 

 

 

Type:

 

 

 

 

 

 

 

 

 

 

Description:

Hyperbolic Cosine Analytic Function: Returns the hyperbolic cosine of the argument.

 

For complex arguments, cosh(x + iy) = coshx cosy + i sinhx siny.

Access:

…ÑHYPERBOLIC COSH

(Ñis the right-shift of the 8key).

 

HYPERBOLIC COSH

( ´is the left-shift of the Pkey).

Flags:

Numerical Results (–3)

 

 

 

 

 

 

 

 

 

 

Input/Output:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Level 1/Argument 1

 

 

 

 

 

 

 

Level 1/Item 1

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

z

 

 

 

 

 

cosh z

 

 

 

 

 

 

'symb'

 

 

 

 

 

'COSH(symb)'

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

See also:

ACOSH, SINH, TANH

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

COV

Command

 

 

 

 

 

 

 

 

 

 

Type:

 

 

 

 

 

 

 

 

 

 

Description:

Covariance Command: Returns the sample covariance of the independent and dependent data

 

columns in the current statistics matrix (reserved variable ΣDAT).

 

The columns are specified by the first two elements in reserved variable ΣPAR, set by XCOL and

 

YCOL respectively. If ΣPAR does not exist, COV creates it and sets the elements to their default

 

values (1 and 2).

 

 

 

 

 

 

 

 

 

 

 

The covariance is calculated with the following formula:

 

 

 

 

 

 

 

 

1

n

 

 

 

 

 

 

 

 

 

 

 

 

 

 

-----------

(xin1

xn1 )(xin2 xn2 )

 

 

 

 

 

 

n – 1i = 1

 

 

 

 

 

 

 

 

 

where xin1 is the ith coordinate value in column n1, xin2 is the ith coordinate value in the column

 

n2,

is thexn1mean of the data in column n1,

is the

 

 

of the data in column n2, and n is the

 

nmean2

 

 

 

 

 

 

 

 

 

 

x

 

 

 

number of data points.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Access:

…µCOV

 

 

 

 

 

 

 

 

 

 

3-46 Full Command and Function Reference