Question

Ayuden por favor es para un taller final, el archivo esta abajo

Answer 1

$( \sec(x) + \cos(x) )( \sec(x) - \cos(x) ) \\ = { \sec^{2} (x) } - { \cos}^{2}(x) \\ = \frac{1}{ \cos^{2} (x) } - { \cos^{2} (x) } \\ = \frac{1 - { \cos^{2} (x) }{ \cos^{2} (x) } }{ \cos^{2} (x) } \\ = \frac{ \sin^{2} (x) + { \cos^{2} (x) } -{ \cos^{2} (x) }{ \cos^{2} (x) } }{{ \cos^{2} (x) } } \\ = \frac{ \sin^{2} (x) +{ \cos^{2} (x) } (1 -{ \cos^{2} (x) } ) }{{ \cos^{2} (x) } } \\ = \frac{ \sin^{2} (x) + { \cos^{2} (x) } \sin ^{2} (x) }{{ \cos^{2} (x) } } \\ = \frac{ \sin ^{2} (x) }{{ \cos^{2} (x) } } + \frac{{ \cos^{2} (x) } \sin^{2} (x) }{{ \cos^{2} (x) } } \\ = \tan ^{2} (x) + \sin^{2} (x)$
Es la 1:)