Answer:
x = pi n
Step-by-step explanation:
6 sec^2(x) − 6 = 0
Add 6 to each side
6 sec^2(x) − 6+6 = 0+6
6 sec^2(x)=6
Divide by 6
sec^2(x) = 1
Take the square root of each side
sqrt( sec^2(x) ) = ±sqrt(1)
sec(x) =± 1
sec (x) = 1 sec(x) = -1
Take the inverse sec of each side
sec^-1(sec (x)) = sec^-1(1) sec^-1(sec (x)) = sec^-1(-1)
x = 2 pi n x = pi + 2 pi n where n is an integer
Combining
x = pi n
