1 - cos^2x/1+sin x = ____

To solve the given equation, we will follow these steps:

Step 1: Simplify the expression on the left side of the equation. Using the identity cos^2(x) = 1 - sin^2(x), we can rewrite the equation as: (1 - sin^2(x))/(1 + sin(x))

Step 2: Factor the numerator. The numerator can be factored as (1 - sin(x))(1 + sin(x)).

Step 3: Cancel out common factors. We can cancel out the common factor of (1 + sin(x)) in the numerator and denominator.

Step 4: Simplify the expression. After canceling out the common factor, we are left with: (1 - sin(x))/(1)

Step 5: Simplify further. The expression simplifies to: 1 - sin(x)

Therefore, the answer to the equation 1 - cos^2(x)/(1 + sin(x)) is 1 - sin(x).