Factor and simplify sin^2x-1/sinx+1

Answer 1

To factor and simplify the expression sin^2(x) - 1/sin(x) + 1, we can begin by factoring the numerator as sin^2(x) - 1 = (sin(x) - 1)(sin(x) + 1).

So the expression becomes:

(sin(x) - 1)(sin(x) + 1) / sin(x) + 1

Next, we can cancel out the common factor of sin(x) + 1:

= (sin(x) - 1) / 1

= sin(x) - 1