How can I place points at equal angles on a range starting from 0 and not repeating if the range is 360?

Question

I want to place points at equal angles of a range. The first point should always be at 0 and the last point should always be equal to the range amount (unless 360 since I don't want points to overlap). For example:

if my range is 90 degrees and I want to place 3 points:

• 1st @ 0 degrees
• 2nd @ 45 degrees
• 3rd @ 90 degrees

if my range is 180 degrees and I want to place 5 points:

• 1st @ 0
• 2nd @ 45
• 3rd @ 90
• 4th @ 135
• 5th @ 180

if my range is 0 / 360 degrees and I want to place 3 points:

• 1st @ 0 degrees
• 2nd @ 120 degrees
• 3rd @ 240 degrees

Is there a math formula for this?

Answer 1

The first point is at zero. The remaining $n-1$ points divide the range into equal parts.