Final answer:
The solutions for the equation cos(3x-180°)=-√3/2 are 3x-180° = 0° + 360°n, where n is an integer.
Step-by-step explanation:
The equation cos(3x-180°)=-√3/2 can be solved by first finding the reference angle. The reference angle can be found by subtracting 180° from the given angle: 3x-180° = 180° - 180° = 0°. Now, we can find the solutions for the given equation by considering the unit circle and the values of cosine at 0°. The cosine of 0° is 1, so the solutions for the given equation are: 3x-180° = 0° + 360°n, where n is an integer.
Therefore, the solutions for the equation cos(3x-180°)=-√3/2 are: 3x-180° = 0° + 360°n, where n is an integer.