To solve the equation 2sin(x) = -1, we need to isolate sin(x) first.
Dividing both sides by 2, we get:
sin(x) = -1/2
Now, to find the values of x where sin(x) = -1/2, we need to look at the unit circle.
The sine function is negative in the third and fourth quadrants. In these quadrants, the reference angle for sin(x) = 1/2 is 30 degrees or π/6 radians.
Therefore, the solutions for x are x = 210 degrees + 360n degrees and x = 330 degrees + 360n degrees, where n is an integer.
In radians, the solutions are x = 7π/6 + 2πn and x = 11π/6 + 2πn, where n is an integer.
To solve the equation 2sin(x) = -1, we need to isolate sin(x) first.
Dividing both sides by 2, we get:
sin(x) = -1/2
Now, to find the values of x where sin(x) = -1/2, we need to look at the unit circle.
The sine function is negative in the third and fourth quadrants. In these quadrants, the reference angle for sin(x) = 1/2 is 30 degrees or π/6 radians.
Therefore, the solutions for x are x = 210 degrees + 360n degrees and x = 330 degrees + 360n degrees, where n is an integer.
In radians, the solutions are x = 7π/6 + 2πn and x = 11π/6 + 2πn, where n is an integer.