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You might be able to approximate the triangle in line by using slash and backslash. 2/3\ = 8. 2/\8 = 3. /3\8 = 2. Not nearly as pretty, but if you're familiar with the triangle in a hand written context, it might get the point across.

Just use the connecting edge: 2(/)3 = 8, 2(-)8 = 3, 3(\)8 = 2.

There are just overloaded notations from two different contexts. sin² can mean either:

* x → sin(x)² (in multiplicative group)

* x → sin(sin(x))² (in composition group)

Similarly, sin⁻¹ can mean either:

* x → 1 / sin(x) (in multiplicative group)

* x → arcsin(x) (in composition group)

Has this ever actually caused you confusion?

I have seen students get very confused by the ^-1 arcsin thing. Imho that one needs to go away and just use the word arcsin or develop a proper symbol for "inverse"

> The only drawback I see with triangle notation is there's no obvious way to type it on a single line.

Definitely a valid complaint, although nth-root and log-base-b are already poor for typing on a single line.