Bagaimana Anda memverifikasi identitas 3sec ^ 2thatan ^ 2theta + 1 = dt ^ 6theta-tan ^ 6theta?

Menjawab:

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Penjelasan:

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

Sisi Kanan# = sec ^ 6theta-tan ^ 6theta #

# = (sec ^ 2theta) ^ 3- (tan ^ 2theta) ^ 3 #-> gunakan perbedaan rumus dua kubus

# = (dtk ^ 2teta-tan ^ 2teta) (dtk ^ 4theta + dtk 2tetatan ^ 2teta + tan ^ 4theta) #

# = 1 * (dtk 4theta + dtk 2tetatan ^ 2teta + tan ^ 4thteta) #

# = sec ^ 4theta + detik ^ 2tatan ^ 2theta + tan ^ 4theta #

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

# = sec ^ 2theta (tan ^ 2theta + 1) + sec ^ 2thet ^ 2theta + tan ^ 2theta (sec ^ 2theta-1) #

# = dtk ^ 2tetet ^ 2teta + dt ^ 2teta + dtk 2tetet ^ 2teta + dtk 2tetatan ^ 2teta-tan ^ 2teta #

# = sec ^ 2thet ^ 2theta + sec ^ 2thatan ^ 2theta + sec ^ 2thet ^ 2theta + sec ^ 2theta-tan ^ 2theta #

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

#=# Sisi kiri