Answer
$-\frac{2\sqrt {85}}{85}, \frac{9\sqrt {85}}{85}, \frac{-2}{9}, -\frac{9}{2}, \frac{\sqrt {85}}{9}, -\frac{\sqrt {85}}{2}$
Work Step by Step
Given point $(9,-2)$ on the terminal side, we have:
1. $sin\theta=\frac{-2}{\sqrt {(9)^2+(-2)^2}}=-\frac{2}{\sqrt {85}}=-\frac{2\sqrt {85}}{85}$
2. $cos\theta=\frac{9}{\sqrt {(9)^2+(-2)^2}}=\frac{9}{\sqrt {85}}=\frac{9\sqrt {85}}{85}$
3. $tan\theta=\frac{-2}{9}$
4. $cot\theta=\frac{1}{tan\theta}=-\frac{9}{2}$
5. $sec\theta=\frac{1}{cos\theta}=\frac{\sqrt {85}}{9}$
6. $csc\theta=\frac{1}{sin\theta}=-\frac{\sqrt {85}}{2}$
