Answer
$-\frac{\sqrt 2}{2}, -\frac{\sqrt 2}{2}, 1, 1, -\sqrt 2, -\sqrt 2$
Work Step by Step
Use the figure given in the exercise, we have:
1. $sin\theta=\frac{-3}{\sqrt {(-3)^2+(-3)^2}}=-\frac{3}{3\sqrt 2}=-\frac{\sqrt 2}{2}$
2. $cos\theta=\frac{-3}{\sqrt {(-3)^2+(-3)^2}}=-\frac{3}{3\sqrt 2}=-\frac{\sqrt 2}{2}$
3. $tan\theta=\frac{-3}{-3}=1$
4. $cot\theta=\frac{1}{tan\theta}=1$
5. $sec\theta=\frac{1}{cos\theta}=-\sqrt 2$
6. $csc\theta=\frac{1}{sin\theta}=-\sqrt 2$
