In the notation $\sin(x)^2 $
Does this equal $\sin(x^2) $ or $(\sin(x))^2 $ ?
I'm sorry this is such a simple question but Google is unhelpful. There are plenty of sources illustrating $\sin^2(x) $ = $(\sin(x))^2 $ but nothing about $\sin(x)^2 $
According to the answers in my math book(Calculus of a Single Variable 10e, Ron Larson & Bruce Edwards), it seems as if it equates $\sin(x)^2$ as $\sin(x^2)$ This obviously isn't proof of the notation but it would make some sense when considering $\sin(x+y)^2$ or $\sin(2x)^2$ as opposed to a single variable. I find this notation very confusing and better stated explicitly such as: $\sin((x+y)^2)$ or $\sin((2x)^2)$.
I'm still not happy with this answer and would appreciate if anyone could reference evidence to one side or the other.