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:

 

 

 

( tan (x))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:

PTRIG, 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:

 

 

 

( tan (x))2

 

 

Command:

TAN2SC2(TAN(X)^2)

 

 

Result:

(SIN(2*X)/(1+COS(2*X)))^2

 

 

See also:

HALFTAN, TAN2CS2, TAN2SC

 

 

TANH

Analytic function

 

 

Type:

 

 

Description:

Hyperbolic Tangent Analytic Function: Returns the hyperbolic tangent of the argument.

 

For complex arguments,

 

 

 

 

tanh(x + iy)

sinh2x + isin2y

 

 

 

= --------------------------------------

 

 

 

 

cosh2x + cos2y

 

Access:

…ÑHYPERBOLIC TANH

(Ñis 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

 

 

 

 

 

 

 

Full Command and Function Reference 3-249