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



Answered question


is sin2x equal to sinx2?

Answer & Explanation

Nathalie Redfern

Nathalie Redfern

Skilled2021-09-30Added 99 answers

sin2x is NOT equal to sinx2.
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 x=90 (similar for x-values in radians).
We then note that the two expressions cannot be equal, because one expression becomes 1 and the other 0 at x=90.
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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