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334 Functions and commands
atrig2ln Returns an expression with inverse trigonometric functions
rewritten as logarithmic functions.
atrig2ln(Expr)
Example:
atrig2ln(atan(x)) gives ((i)*ln((i+x)/(i-x)))/2
tlin Returns a trigonometric expression with the products and
integer powers linearized.
tlin(ExprTrig)
Example:
tlin(sin(x)^3) gives 3*sin(x)/4+sin(3*x)/-4
tCollect Returns a trigonometric expression linearized and with any
sine and cosine of the same angle put together.
tCollect(Expr)
Example:
tcollect(sin(x)+cos(x)) gives sqrt(2)*cos(x-1/
4*pi)
trigexpand Returns a trigonometric expression in expanded form.
trigexpand(Expr)
Example:
trigexpand(sin(3*x)) gives (4*cos(x)^2-
1)*sin(x)
trig2exp Returns an expression with trigonometric functions rewritten as
complex exponentials (without linearization).
trig2exp(Expr)
Example:
trig2exp(sin(x)) gives (exp((i)*x)-1/
exp((i)*x))/(2*i)
Integer
Divisors Returns the list of divisors of an integer or a list of integers.
idivis(Intg(a) or (LstIntg))
Example:
idivis(12) returns [1, 2, 3, 4, 6, 12]