Chapter 7 - Trigonometric Identities and Equations - Chapter 7 Test Prep - Review Exercises - Page 736: 10

$\cot\theta\cos\theta$

$\displaystyle \csc\theta-\sin\theta=\frac{1}{\sin\theta}-\sin\theta$ $=\displaystyle \frac{1-\sin^{2}\theta}{\sin\theta}$ $=\displaystyle \frac{\cos^{2}\theta}{\sin\theta}$ $=\displaystyle \frac{\cos\theta}{\sin\theta}\times\cos\theta$ $=\cot\theta\cos\theta$