## Algebra 2 Common Core

$sec\theta=sec\theta$
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$