To solve this equation, we need to manipulate the terms to isolate either sinx or cosx. Here's how:

Starting with the equation Sinx - 1 = Sinx * Cosx - Cosx

Rearrange the terms to get:

Sin x - Sin x * Cos x = 1 - Cos x

Factor out the common term from the left side:

Sin x (1 - Cos x) = 1 - Cos x

Then, divide both sides by (1 - Cos x):

Sin x = 1 / (1 - Cos x)

This is the simplified form of the equation Sinx - 1 = Sinx * Cosx - Cosx.