To solve the trigonometric equation 2 sin(x/2 - pi/6) = -1, we first need to isolate the sin function:
sin(x/2 - pi/6) = -1/2
Next, we need to find the angle x/2 - pi/6 that corresponds to a sin value of -1/2. Since sin(-30 degrees) = -1/2, we can write:
x/2 - pi/6 = -pi/6
Now, we solve for x:
x/2 = 0
x = 0
Therefore, the solution to the equation 2 sin(x/2 - pi/6) = -1 is x = 0.
To solve the trigonometric equation 2 sin(x/2 - pi/6) = -1, we first need to isolate the sin function:
sin(x/2 - pi/6) = -1/2
Next, we need to find the angle x/2 - pi/6 that corresponds to a sin value of -1/2. Since sin(-30 degrees) = -1/2, we can write:
x/2 - pi/6 = -pi/6
Now, we solve for x:
x/2 = 0
x = 0
Therefore, the solution to the equation 2 sin(x/2 - pi/6) = -1 is x = 0.