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Exp & ln, Sine – HP Prime Graphing Wireless Calculator User Manual

Page 129

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Functions and commands

125

texpand

Expands a transcendental expression.

texpand(Expr)

Example:

texpand(sin(2*x)+exp(x+y)) returns exp(x)*exp(y)+
2*cos(x)*sin(x))

Exp & Ln

e

y*lnx

→ x

y

Returns an expression of the form e

n*ln(x)

rewritten as a power

of x. Applies e

n*ln(x)

=x

n

.

exp2pow(Expr)

Example:

exp2pow(exp(3*ln(x)))

gives

x^3

x

y

→ e

y*lnx

Returns an expression with powers rewritten as an

exponential. Essentially the inverse of exp2pow.

pow2exp(Expr)

Example:

pow2exp(a^b)

gives

exp(b*ln(a))

exp2trig

Returns an expression with complex exponentials rewritten in

terms of sine and cosine.

exp2trig(Expr)

Example:

exp2trig(exp(i*x))

gives

cos(x)+(i)*sin(x)

expexpand

Returns an expression with exponentials in expanded form.

expexpand(Expr)

Example:

expexpand(exp(3*x))

gives

exp(x)^3

Sine

asinx → acosx

Returns an expression with asin(x) rewritten as π/2– acos(x).

asin2acos(Expr)

Example:

asin2acos(acos(x)+asin(x)) returns

π

/2