Question

1\1+sin∅+1\1-sin∅=2 sec²∅

Answer 1

Respuesta:

Explicación paso a paso:

1/(1+sen@) + 1/(1-sen@) = 2sec^2@

(1 (1-sen@) + 1 (1+sen@) ) / (1-sen@)(1+sen@) = 2sec^2@

(1-sen@ + 1+sen@) / (1-sen^2@) =2sec^2@

(1+1+sen@-sen@) / cos^2@ = 2sec^2@

2/cos^2@ = 2sec^2@

2sec^2@ = 2sec^2@

Identidades utilizadas :

1/cos^2@ = sec^2@

1-sen^2@ = cos^2@