See also:

EGCD

 

 

 

SIMPLIFY

 

 

 

 

 

Type:

Command

 

 

 

Description:

Simplifies an expression.

 

 

Access:

!Ú REWRITE L

 

 

Input:

An expression

 

 

 

Output:

An equivalent simplified expression. SIMPLIFY follows an extensive built-in set of rules, but

 

these might not give exactly the simplification the user expects.

 

Flags:

Exact mode must be set (flag –105 clear).

 

 

 

Numeric mode must not be set (flag –3 clear).

 

 

 

SI(3 ⋅ X) + SI(7 ⋅ X)

 

 

 

----------------------------------------------------------

 

 

Example:

Simplify

SI(5 ⋅ X)

 

 

 

 

 

Command:

SIMPLIFY((SIN(3*X)+SIN(7*X))/SIN(5*X))

 

 

Result:

4*COS(X)^2 - 2

 

 

See also:

COLLECT, EXPAND

 

 

SIN

Analytic function

 

 

Type:

 

 

Description:

Sine Analytic Function: Returns the sine of the argument.

 

 

For real arguments, the current angle mode determines the number’s units, unless angular units

 

are specified.

 

 

 

 

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

 

 

If the argument for SIN 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 SIN with a

 

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

Access:

S

 

 

 

Flags:

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

 

 

Input/Output:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Level 1/Argument 1

 

Level 1/Item 1

 

 

 

 

 

 

 

 

 

z

→

sin z

 

 

 

x_unitangular

→

sin(x_unitangular)

 

 

 

'symb'

→

'SIN(symb)'

 

ASIN, COS,

 

 

 

See also:

TAN

 

 

SINCOS

 

 

 

 

 

Type:

Command

 

 

 

Description:

Converts complex logarithmic and exponential expressions to expressions with trigonometric

 

terms.

 

 

 

Access:

Trigonometry, …ÑL, PLEXPLN

 

 

Input:

An expression with complex linear and exponential terms.

 

Output:

The expression with logarithmic and exponential subexpressions converted to trigonometric and

 

inverse trigonometric expressions.

 

 

Flags:

Exact mode must be set (flag –105 clear).

 

 

 

Numeric mode must not be set (flag –3 clear).

 

 

Full Command and Function Reference 3-225