1) = (Sin²α - Cos²α)(Sin²α + Cos²α) - Sinα + Cos²α=
=Sin²α - Cos²α- Sinα + Cos²α = 0
2) (6^log₆x)^log₆x + x^log₆x =12 (x>0)
x^log₆x + x^log₆x =12
2x^log₆x =12
x^log₆x =6
x^log₆x = x^logₓ6
log₆x = logₓ6
log₆x = 1/log₆x
log₆x = t
t = 1/t
t² = 1
t = +-1
a) log₆x = 1 б) log₆x = -1
х = 6 х = 1/6