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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. Wher the angle between the sun, earth, and moon is 0 (0 s < 360°), then the fraction F is given by the formula below. F-(1-cos(6)) Determine the angles that correspond to the following phases. (Enter your answers as a comma-separated list.) (a) F-0 (new moon) (b) F-0.25 (crescent moon) (c) F-0.5 (first or last quarter) (d) = 1 (full 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. Wher the angle between the sun, earth, and moon is 0 (0 s < 360°), then the fraction F is given by the formula below. F-(1-cos(6)) Determine the angles that correspond to the following phases. (Enter your answers as a comma-separated list.) (a) F-0 (new moon) (b) F-0.25 (crescent moon) (c) F-0.5 (first or last quarter) (d) = 1 (full moon)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter3: Straight Lines And Linear Functions
Section3.3: Modeling Data With Linear Functions
Problem 21E
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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 0 (0 ≤ 0 < 360°), then the fraction F is given by the formula below. F= = (1 - cos(8)) Determine the angles that correspond to the following phases. (Enter your answers as a comma-separated list.) (a) F = 0 (new moon) 8 = (b) F = 0.25 (crescent moon) 8 = (c) F = 0.5 (first or last quarter) 8 = (d) 0 = F = 1 (full moon) 0
Transcribed Image Text: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 0 (0 ≤ 0 < 360°), then the fraction F is given by the formula below. F= = (1 - cos(8)) Determine the angles that correspond to the following phases. (Enter your answers as a comma-separated list.) (a) F = 0 (new moon) 8 = (b) F = 0.25 (crescent moon) 8 = (c) F = 0.5 (first or last quarter) 8 = (d) 0 = F = 1 (full moon) 0
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