E Apps for quick access place your bookmakes here on the bookmarks bar. Import b

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E Apps for quick access place your bookmakes here on the bookmarks bar. Import bookmarks new WESTETTU For this assignment, you submit answers by question parts. The number of submissions remaining for each question part only changes if you submit or change the answer Assignment Scoring Your last submission is used for your score 23. 0-4 points SereCalc? 7.4.059. My Notes 0 Ak Your Teacher 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 Gunlight. An astronomical measure of phase is given by the fraction of the lunar disc that is lit. When the angle between the sun, earth, and moon is 8 (O SO

Explanation / Answer

We have given F=(1/2)*(1-cos(theta))

a) F=0 (new moon)

F=(1/2)*(1-cos(theta))=0

(1-cos(theta))=0

-cos(theta)=-1

cos(theta)=1

theta=00

b) F=0.25 (crescent moon)

F=(1/2)*(1-cos(theta))=0.25

(1-cos(theta))=0.50

-cos(theta)=0.50-1=-0.5

cos(theta)=0.5

theta=arccos(0.5)=600,3000

theta=600,3000

c) F=0.5 (first or last quarter)

F=(1/2)*(1-cos(theta))=0.5

(1-cos(theta))=1.0

-cos(theta)=1.0-1=0

cos(theta)=0

theta=900,2700

d) F=1(full moon)

F=(1/2)*(1-cos(theta))=1

(1-cos(theta))=2

-cos(theta)=2-1=1

cos(theta)=-1

theta=arccos(-1)=1800

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