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

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

Step 1

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

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

Step 2

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

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