As the Moon revolves around the Earth, the side of the Moon that faces the Earth is partially illuminated by the Sun. These "phases" of the moon are described by a fraction F of a lunar disc. For example, F = 0 describes a "new moon" which is when we don't see any of the Moon from Earth. F = 0.5 is when we see a "half moon" and F = 1 is when we witness a "full moon". If the angle formed between the Sun, Earth, and the Moon is theta, the formula for the fraction F of the moon seen is F = 1/2(1 - cos(theta)) where 0^@ <= theta <= 360^@. Find the angle(s) theta if the fraction F = 0.75. Give all possible angles exactly in degrees, separating them with commas if there is more than one answer.
