# Tan2cs2; Tan2sc; Tan2sc2; Tanh - HP 48gII Advanced User's Reference Manual

Graphing calculator.

For a real argument that is an odd-integer multiple of 90 in Degrees mode, an Infinite Result
exception occurs. If flag –22 is set (no error), the sign of the result (MAXR) matches that of the
argument.
For complex arguments:
If the argument for TAN 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 TAN
with a unit object, the angle mode must be set to Radians (since this is a "neutral" mode).
U
Access:
Flags:
Numerical Results (-3), Angle Mode (-17, -18), Inifinite Result Exception (-22)
Input/Output:
ATAN, COS, SIN

## TAN2CS2

CAS:
Replace tan(x) terms in expressions with (1-cos(2x))/sin(2x) terms.

### TAN2SC

CAS:
Replace tan(x) terms in expressions with sin(x)/cos(x).

### TAN2SC2

CAS:
Replace tan(x) terms in expressions with sin(2x)/1+cos(2x) terms.

### TANH

Type:
Analytic function
Description: Hyperbolic Tangent Analytic Function: Returns the hyperbolic tangent of the argument.
For complex arguments,
...Ñ
Access:
Flags:
Numerical Results (-3)
Input/Output:
ATANH, COSH, SINH

### TAYLOR0

CAS:
Perform a fourth-order Taylor expansion of an expression at x = 0.

### TAYLR

Type:
Command
Description: Taylor Polynomial Command: Calculates the nth order Taylor polynomial of symb in the variable
global.
sin
tan
x
+
iy
=
------------------------------------------------------------------------------ -
Level 1/Argument 1
z
'symb'
x_unit
angular
tanh
x
+
HYPERBOLIC TANH
HYPERBOLIC TANH
Level 1/Argument 1
z
'symb'
x
cos
x
+
i
sinh
y
cosh
2
2
sin
h
y
+
cos
x
sinh
2x
+
i
sin
2y
iy
=
-------------------------------------- -
cosh
2x
+
cos
2y
(Ñ is the right-shift of the 8key).
( ´ is the left-shift of the Pkey).
Full Command and Function Reference 3-181
y
Level 1/Item 1
tan z
'TAN(symb)'
tan (x_unit
)
angular
Level 1/Item 1
tanh z
'TANH(symb)'