Reference Guide

Full Command and Function Reference 3-249
Input: An expression
Output: The transformed expression.
Flags: Exact mode must be set (flag –105 clear).
Numeric mode must not be set (flag –3 clear).
Radians mode must be set (flag –17 set).
Example: Replace tan(x) terms in the function:
x
(
)
tan
(
)
2
Command: TAN2SC(TAN(X)^2)
Result: (SIN(X)/COS(X))^2
See also: HALFTAN, TAN2CS2, TAN2SC2
TAN2SC2
Type: Command
Description: Replaces tan(x) terms in an expression with sin(2x)/1+cos(2x) terms.
Access: P TRIG , Trigonometry, …ÑL
Input: An expression
Output: The transformed expression.
Flags: Exact mode must be set (flag –105 clear).
Numeric mode must not be set (flag –3 clear).
Radians mode must be set (flag –17 set).
In previous versions of the CAS, if flag –116 was set (Prefer sin()), then TAN2SC2 replaced tan(x)
terms with: 1 – cos(2x)/sin(2x). This action is now performed by the TAN2CS2 command.
Example: Replace tan(x) terms in the function:
x
(
)
tan
(
)
2
Command: TAN2SC2(TAN(X)^2)
Result: (SIN(2*X)/(1+COS(2*X)))^2
See also: HALFTAN, TAN2CS2, TAN2SC
TANH
Type: Analytic function
Description: Hyperbolic Tangent Analytic Function: Returns the hyperbolic tangent of the argument.
For complex arguments,
x iy+( )tanh
2
x
sinh
i
2
y
sin
+
2xcosh 2ycos+
---------------------------------------=
Access: …Ñ HYPERBOLIC TANH (Ñ is the right-shift of the 8key).
!´ HYPERBOLIC TANH ( ´ is the left-shift of the Pkey).
Flags: Numerical Results (–3)
Input/Output:
Level 1/Argument 1 Level 1/Item 1
z
→
tanh z
'symb'
→
'TANH(symb)'
See also: ATANH, COSH, SINH