Simplify/Condense (sin(t))/(sec(t)-cos(t))

$\frac{\sin (t)}{\sec (t) - \cos (t)}$

Step 1

Rewrite $\sec (t)$ in terms of sines and cosines.

$\frac{\sin (t)}{\frac{1}{\cos (t)} - \cos (t)}$

Step 2

Convert from $\frac{1}{\cos (t)}$ to $\sec (t)$ .

$\frac{\sin (t)}{\sec (t) - \cos (t)}$