Answer
$sec\theta=sec\theta$
Work Step by Step
Step 1: Replace $tan\theta$ with $\frac{sin\theta}{cos\theta}$ and replace $csc\theta$ with $\frac{1}{sin\theta}$
Step 2: Therefore $tan\theta\times$$csc\theta$= $\frac{sin\theta}{cos\theta}$$\times$$\frac{1}{sin\theta}$
Step 3: Canceling $sin\theta$ gives $tan\theta\times$$csc\theta$= $\frac{1}{cos\theta}$
Step 4: By definition, $\frac{1}{cos\theta}$= $sec\theta$
Hence, $tan\theta\times$$csc\theta$=$sec\theta$
