Applying the trigonometric identity: $1-\sin\left(\theta \right)^2 = \cos\left(\theta \right)^2$
$\tan\left(x\right)^2\cos\left(x\right)^2$
Why is 1 - sin(x)^2 = cos(x)^2 ?
Final answer to the problem
$\tan\left(x\right)^2\cos\left(x\right)^2$
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The simplification of algebraic expressions consists in rewriting a long and complex expression in an equivalent, but much simpler expression. This simplification can be accomplished through the combined use of arithmetic and algebra rules.