# Chapter 14 Trigonometric Graphs, Identities, and Equations - 14.6 Apply Sum and Difference Formulas - Guided Practice for Examples 3, 4, and 5 - Page 951: 8

$$\tan \left(x\right)$$

#### Work Step by Step

Simplifying the expression using the sum and difference formulas, we find: $$\frac{\sin \left(x-\pi \right)}{\cos \left(x-\pi \right)} \\ \frac{-\cos \left(x\right)\sin \left(\pi \right)+\cos \left(\pi \right)\sin \left(x\right)}{\cos \left(x\right)\cos \left(\pi \right)+\sin \left(x\right)\sin \left(\pi \right)} \\ \frac{\sin \left(x\right)}{\cos \left(x\right)} \\ \tan \left(x\right)$$

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.