Final answer:
To solve the trigonometric equation, simplify the equation using identities and then solve for A to determine a specific value.
Step-by-step explanation:
To solve the trigonometric equation cot (A+45) - tan(A-45) = 2cos A/(1+sin A), we can start by simplifying the equation.
Using the identities cot A = 1/tan A and sin² A + cos² A = 1, we can simplify the left side of the equation.
After simplifying, we can then solve for A to determine a specific value.