Question

Simplifique:
$tgx^{2} x . sec x . cotg^{3} x . sen^{3} x$

Answer 1

$\tg x^{2} x . \sec x . \cotg^{3} x . \sin^{3} x \\ \\ \frac{ \sin {}^{2} (x)}{ \cos {}^{2}(x) } x. \frac{1}{ \cos(x)} . \frac{ \cos {}^{3} (x)}{ \cancel{\sin {}^{3}(x) }} . \cancel{\sin {}^{3} (x)} \\ \\ \frac{ \sin {}^{2}(x) }{ \cos {}^{2} (x). \cos(x)} x. \cos {}^{3} (x) \\ \\ \frac{ \sin {}^{2} (x)}{ \cancel{ \cos {}^{3} (x)}} x. \cancel{\cos {}^{3} (x)} \\ \\ x .\sin {}^{2} (x)$