Chapter 14 Trigonometric Graphs, Identities, and Equations - 14.7 Apply Double-Angle and Half-Angle Formulas - Guided Practice for Examples 1, 2, and 3 - Page 956: 6

$\cos\theta-\sin\theta$

Using the given formula and the known values: $\frac{\cos(2\theta)}{\sin\theta+\cos\theta}=\frac{\cos^2\theta-\sin^2\theta}{\sin\theta+\cos\theta}=\frac{(\sin\theta+\cos\theta)(\cos\theta-\sin\theta)}{\sin\theta+\cos\theta}=\cos\theta-\sin\theta$