Πώς ελέγχετε την ταυτότητα 3sec ^ 2thetatan ^ 2theta + 1 = sec ^ 6theta-tan ^ 6theta;

Απάντηση:

Δες παρακάτω

Εξήγηση:

# 3sec ^ 2thetatan ^ 2theta + 1 = sec ^ 6theta-tan ^ 6theta #

Σωστη πλευρα# = sec ^ 6theta-tan ^ 6theta #

# = (sec ^ 2theta) ^ 3- (tan ^ 2theta) ^ 3 #-> χρησιμοποιήστε τη διαφορά των δύο τύπων κύβων

= (δευτερόλεπτο) 2-τεταρτοταγής (2-αιθέρας)

# = 1 * (sec ^ 4theta + sec ^ 2thetatan ^ 2theta + tan ^ 4theta) #

# = sec ^ 4theta + sec ^ 2thetatan ^ 2theta + tan ^ 4theta #

# = sec ^ 2theta sec ^ 2theta + sec ^ 2thetatan ^ 2theta + tan ^ 2theta tan ^ 2 theta #

(δευτερόλεπτα) 2 = 2 = 2 = 2 = 2 =

# = sec ^ 2thetatan ^ 2theta + sec ^ 2theta + sec ^ 2thetatan ^ 2theta + sec ^ 2thetatan ^ 2theta-tan ^ 2theta #

# = sec ^ 2thetatan ^ 2theta + sec ^ 2thetatan ^ 2theta + sec ^ 2thetatan ^ 2theta + sec ^ 2theta-tan ^ 2theta #

# = 3sec ^ 2thetatan ^ 2theta + 1 #

#=# Αριστερή πλευρά