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QUESTION

The phases of the moon can be described using the phase angle , determined by the sun, the moon, and Earth, as shown in the following figure.

πR2(1 + cos θ),where R = 1080 mi is the radius of the moon. Approximate A for the following positions of the moon. Enter a symbolic answer--with NO trigonometric functions (that is, compute the values of cosine).  

(a)θ = 0° (full moon)

A =    mi2

(b)θ = 180° (new moon)

A =    mi2

(c)θ = 90° (first quarter)

A =    mi2

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