solve the trigonometric equation

Answer: x = 2[tex]\pi[/tex]n , x= [tex]\pi[/tex] + 2[tex]\pi[/tex]n (also see bottom)
Step-by-step explanation:
Add the 1 to both sides to get:
cos^2 (x) = 1
Square Root both sides to get:
cos (x) = ± 1
Solve for x:
cos(x) = 1
x = 2[tex]\pi[/tex]n
cos(x) = -1
x= [tex]\pi[/tex] + 2[tex]\pi[/tex]n
If the bounds of the problem are from 0 to 2pi,
The answers are 0, [tex]\pi[/tex], and 2[tex]\pi[/tex]