Reference Guide

Full Command and Function Reference 3-225
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).
Example: Simplify
S
I

3
X
⋅
(
)
S
I

7
X
⋅
(
)
+
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
Type: Analytic function
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_unit
angular
→
sin(x_unit
angular
)
'symb'
→
'SIN(symb)'
See also: ASIN, COS, TAN
SINCOS
Type: Command
Description: Converts complex logarithmic and exponential expressions to expressions with trigonometric
terms.
Access: Trigonometry, …ÑL, PL EXPLN
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).