Chapter 9 - Trigonometric Identities, Models, and Complex Numbers - 9.2 Identities, Expressions, and Equations - Exercises and Problems for Section 9.2 - Exercises and Problems - Page 363: 9

$$\sin \left(t\right)-\cos \left(t\right)$$

Simplifying the expression, we obtain: $$\tan \left(t\right)\cos \left(t\right)-\frac{\sin \left(t\right)}{\tan \left(t\right)} $$ Since tangent equals $\frac{sint}{cost}$, it follows: $$\sin \left(t\right)-\cos \left(t\right)$$