Simplify $\frac{\tan (t)}{\sec (t)}$ to a single trig function with no fractions.

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Final Answer: $\sin (t)$

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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: $\sin (t)$