If I know the date and time of the appearance of the new moon how do I determine the date and time of the appearance of the waxing crescent?

To determine the date and time of the appearance of the waxing crescent, you need to calculate the moon's age and its angular distance from the sun.

The waxing crescent appears when the moon is between 0-45 degrees away from the sun, and its age is between 0-3.5 days old.

To calculate the moon's age, subtract the date of the new moon from the current date. For example, if the new moon was on January 13th, and today is January 15th, the moon's age would be 2 days.

To calculate the moon's angular distance from the sun, you can use an online moon phase calculator or a planetarium app.

Once you know the moon's age and its angular distance from the sun, you can predict the date and time of the appearance of the waxing crescent. This will vary based on your location and local time zone.