Another question on "Added Cold Damage Support"

Solution 1:

Physical Attack damage applies to all physical attacks including bow attacks, however cold is elemental not physical so we ignore the 10% you have for the calculation.

Burning Arrow has 155% effect of added damage. Since added cold damage obviously adds damage we multiply what it gives by 155%:

6-9 * 1.55 = 9.3 - 13.95

You have 71% increased projectile damage. This increases all the damage of your burning arrow (because it is a projectile) which includes the 9-14 damage we got in the last calculation:

9.3-13.95 * 1.71 = 15.9-23.85.

The game rounds to the nearest whole number so you see 16-24 on your character sheet.

As for your Physical and Fire damage these are the calculations. Starting with the 9-37 physical damage from your bow.

Again Burning Arrows damage effectiveness affects your bows damage:

9-37 * 1.55 = 13.95-57.35

Your passive skill tree has 71% projectile damage and 10% physical attack damage. Since these are both increases they are added together for a total 81% increase:

13.95-57.35 * 1.81 = 25.2-103.8 physical damage

Burning arrow converts 50% of this physical damage to fire damage:

25.2-103.8 * .5 = 12.6-51.9 rounding to 13-52 for both physical and fire damage.