Solve each problem.
(Modeling) Phase Angle of the Moon Because the moon orbits Earth, we observe different phases of the moon during the period of a month. In the figure, t is the phase angle.
The phase F of the moon is modeled by
and gives the fraction of the moon’s face that is illuminated by the sun. (Source: Duffet-Smith, P., Practical Astronomy with Your Calculator, Cambridge University Press.) Evaluate each expression and interpret the result.
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