To solve the equation, first isolate the cosine term:
cos(2x + π/6) = -1
To find the values of x that satisfy this equation, we need to look for angles where cosine equals -1. In the unit circle, cosine is equal to -1 when the angle is π. Thus,
2x + π/6 = π
Solve for x:
2x = π - π/6 2x = 5π/6 x = 5π/12
Therefore, the solution to the equation cos(2x + π/6) + 1 = 0 is x = 5π/12.
To solve the equation, first isolate the cosine term:
cos(2x + π/6) = -1
To find the values of x that satisfy this equation, we need to look for angles where cosine equals -1. In the unit circle, cosine is equal to -1 when the angle is π. Thus,
2x + π/6 = π
Solve for x:
2x = π - π/6
2x = 5π/6
x = 5π/12
Therefore, the solution to the equation cos(2x + π/6) + 1 = 0 is x = 5π/12.