Answer and step-by-step explanation:
The first step in simplifying the expression sin x/ 1 +sin x is to factor the numerator. The numerator, sin x, can be factored as sin x * 1/sin x. This gives us the following expression:
sin x/ 1 +sin x = sin x * 1/sin x / (1 +sin x)
The next step is to cancel the common factors in the numerator and denominator. The only common factor is sin x, so we can cancel it, leaving us with the following expression:
sin x * 1/sin x / (1 +sin x) = 1 / (1 +sin x)
This is the simplified form of the expression sin x/ 1 +sin x.