QuestionFind the six trigonometric functions for the angle $405^{\circ}$.

Studdy Solution
Now that we have an equivalent angle, we can find the exact values of the six trigonometric functions. We know the values of these functions for $45^{\circ}$.
$$\sin(45^{\circ}) = \cos(45^{\circ}) = \frac{\sqrt{2}}{2}$$$$\tan(45^{\circ}) =1$$$$\csc(45^{\circ}) = \sec(45^{\circ}) = \sqrt{2}$$$$\cot(45^{\circ}) =1$$So, the exact values of the six trigonometric functions of $405^{\circ}$ are the same as those of $45^{\circ}$.