Answer
$\frac{\sqrt 2}{2}$, $ \frac{\sqrt 2}{2}$, $ 1$, $ 1$, $ \sqrt 2$, and $ \sqrt 2$.
Work Step by Step
Given $\theta=405^\circ=360^\circ+45^\circ$ (quadrant I), we have $sin\theta =sin45^\circ=\frac{\sqrt 2}{2}$, $cos\theta =cos45^\circ=\frac{\sqrt 2}{2}$, $tan\theta =tan45^\circ=1$, $cot\theta = \frac{1}{tan\theta}=1$, $sec\theta = \frac{1}{cos\theta}=\sqrt 2$, and $csc\theta = \frac{1}{sin\theta}=\sqrt 2$.
