# How do you simplify (sin² t - cos² t sin² t) / sin² t?

${\sin}^{2} t$
2) Now that the numerator is split we can simplify ${\sin}^{2} \frac{t}{\sin} ^ 2 t$ into 1. As well as cancel ${\sin}^{2} t$ in both the numerator and denominator for the other fraction.
3) This leaves us with $1 - {\cos}^{2} t$, which if you notice is the Pythagorean Identity of ${\sin}^{2} x + {\cos}^{2} x = 1$, but is can be rewritten as ${\sin}^{2} x = 1 - {\cos}^{2} x$. So now that we know it is an identity we can simplify it as ${\sin}^{2} t$.