Phases of the Moon As the moon revolves around the earth, the side that faces the earth is usually just partially illuminated by the sun. The phases of the moon describe how much of the surface appears to be in sunlight. An astronomical measure of phase is given by the fraction F of the lunar disc that is lit. When the angle between the sun, earth, and moon is θ (0 ≤ θ ≤ 360°), then
Determine the angles θ that correspond to the following phases:
- (a) F = 0 (new moon)
- (b) F = 0.25 (a crescent moon)
- (c) F = 0.5 (first or last quarter)
- (d) F = 1 (full moon)
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