beautypg.com

Integer – HP Prime Graphing Calculator User Manual

Page 338

background image

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]