Problem

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

Solution

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: \( \boxed{\sin (t)} \)

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Source: https://solvelyapp.com/problems/3XL1g19Rk8/

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