Any expression divided by one ($1$) is equal to that same expression
$3\sin\left(x\right)^2$
2
Applying the trigonometric identity: $\sin\left(\theta \right)^2 = 1-\cos\left(\theta \right)^2$
$3\left(1-\cos\left(x\right)^2\right)$
Why is 1 - cos(x)^2 = sin(x)^2 ?
Final answer to the problem
$3\left(1-\cos\left(x\right)^2\right)$
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Simplification of trigonometric expressions consists of rewriting an expression with trigonometric functions in a simpler form. To perform this task, we usually use the most common trigonometric identities, and some algebra.