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Answer by crbah for Why is $\cos(x)^2$ written as $\cos^2(x)$?

This is because composition of functions are very rare when you are talking about trigonometric functions. For any other $f: \mathbb{D} \to \mathbb{R}$, it may make sense to calculate $f(f(x))$,...

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Answer by Adriano for Why is $\cos(x)^2$ written as $\cos^2(x)$?

Because we can safely drop the brackets without losing ambiguity, which means less effort when writing it out by hand. $$ \cos^2x = \cos^2(x) = \cos(x)^2 \neq \cos x^2 $$

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Answer by steven gregory for Why is $\cos(x)^2$ written as $\cos^2(x)$?

There are several competing notations. These seem to be the standard interpretations. The goal seems to be to use the least number of parenthesis and still be understandable. $\left . \begin{matrix}...

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Answer by Kunal Yadav for Why is $\cos(x)^2$ written as $\cos^2(x)$?

Well because when you write $$ \cos(x)^2 $$ it can be misunderstood as cosine of (square of x) not the square of the whole value so to avoid confusion its written as $$\cos^2(x)=(\cos(x))^2$$

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Why is $\cos(x)^2$ written as $\cos^2(x)$?

I'm just wondering why the square of $\cos(x)$ (i.e.: $(\cos(x))*(\cos(x))$) is almost universally written in the form $\cos^2(x)$ rather than $\cos(x)^2$. This seems particularly bizarre when one...

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