BolkowN

2021-09-29

is ${\mathrm{sin}}^{2}x$ equal to $\mathrm{sin}x}^{2$ ?

Nathalie Redfern

Skilled2021-09-30Added 99 answers

The easiest way to show that they are not equal is to evaluate both expressions for a nonzero value of x.

For example, we will evaluate both expressions at

We then note that the two expressions cannot be equal, because one expression becomes 1 and the other 0 at

Note: If you ever doubt if an equality is true, it is always useful to check for a few values of x to be sure.

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