Transforming trigonometric functions into complex exponentials

The trig2exp command replaces trigonometric functions by their complex exponential form.

trig2exp takes one argument: expr, an expression containing trigonometric functions.
trig2exp(expr) returns expr with the trigonometric functions replaced by the appropriate complex exponentials (without linearization).

trig2exp(tan(x))

⎛
⎝

e^i x

⎞
⎠

²−1

⎛
⎝

e^i x

⎞
⎠

²+1

⎞
⎠

trig2exp(sin(x))

e^i x−

e^i x

2 i