Question

Simplifica:
E = tan2x + cot2x + 2 - sec2x.csc2x

Answer 1

$= \frac{ \sin(2x) }{ \cos(2x) } \frac{ \cos(2x) }{ \sin(2x) } +2 - \frac{1}{ \cos(2x) } \times \frac{ 1 }{ \sin(2x) } \\ \\ = \frac{ { \sin(2x) }^{2} + { \cos(2x) }^{2} }{ \sin(2x) \cos(2x) }+2 - \frac{1}{ \sin(2x) \cos(2x) } \\ \\ = \frac{1}{\sin(2x) \cos(2x)} - \frac{1}{\sin(2x) \cos(2x)}+2 \\ \\ = 2$