Step 1 :The given expression is \( \frac{\tan (t)}{\sec (t)} \)
Step 2 :We know that \( \tan (t) = \frac{\sin (t)}{\cos (t)} \) and \( \sec (t) = \frac{1}{\cos (t)} \)
Step 3 :So, we can substitute these values into the given expression and simplify it
Step 4 :The expression \( \frac{\tan (t)}{\sec (t)} \) simplifies to \( \sin (t) \)
Step 5 :Final Answer: \( \boxed{\sin (t)} \)