Richard Feynman found trigonometry notation to be ambiguous and confusing.
"If I had sin f, it looked like s×i×n×f"
So he decided to create his own notation. See below.
What do you think?pic.twitter.com/61ByeX7LMz
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Are there any real world cases where one would need to do sin(sin(x))?
It comes up on occasion, but it isn't about sin. In abstract algebra, the “multiplication” on functions is composition. So 𝑓𝑔 = 𝑓 ∘ 𝑔 and therefore 𝑓 ∘ 𝑓 = 𝑓𝑓 = 𝑓². This is the convention for all functions, so why should trig functions be any different?
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