'Suppose tonight is new moon. you are on the side of the moon facing the earth. then we will see the wax and wane gibbous earth'.
Every phase is always the opposite of each other. Any moon dweller would see a narrow crescent Earth when the moon is nearly full.
The moon always faces us from one side. So in order to view any Earth at all, you would need to be on that side. However, you might observe Earth waxing and waning from any location on the near side of the moon, just as the moon does when viewed from our planet. The sun always casts a half-light on the Earth and the moon.
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