Answer
1. $sin405^\circ= \frac{\sqrt 2}{2}$.
2. $cos405^\circ= \frac{\sqrt 2}{2}$.
3. $tan405^\circ=1$.
4. $cot405^\circ= 1$.
5. $sec405^\circ= \sqrt 2$.
6. $csc405^\circ= \sqrt 2$.
Work Step by Step
1. $sin405^\circ=sin(360+45)^\circ=sin45^\circ=\frac{\sqrt 2}{2}$.
2. $cos405^\circ=cos(360+45)^\circ=cos45^\circ=\frac{\sqrt 2}{2}$.
3. $tan405^\circ=tan(360+45)^\circ=tan45^\circ=1$.
4. $cot405^\circ=\frac{1}{tan405^\circ}=1$.
5. $sec405^\circ=\frac{1}{cos405^\circ}=\sqrt 2$.
6. $csc405^\circ=\frac{1}{sin405^\circ}=\sqrt 2$.
