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

Question Help:
Video
Submit Question

Answer

Expert–verified

Hide Steps

Answer

Final Answer: $ \boxed{\sin (t)} $

Steps

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)} $