Answer
(a) $0$
(b) $1$
(c) $0$
Work Step by Step
You are given that $s=2\pi$.
(a) $\sin(s)=\sin(2\pi)$
The angle $2\pi$ intersects the unit circle at $(1, 0)$, and since sine gives the y-coordinate, the value of $\sin(2\pi)$ is $0$.
(b) $\cos(s)=\cos(2\pi)$
The angle $2\pi$ intersects the unit circle at $(1, 0)$, and since cos gives the x-coordinate, the value of $\cos(2\pi)$ is $1$.
(c) $\tan(s)=\tan(2\pi)$
The angle $2\pi$ intersects the unit circle at $(1, 0)$, and since tan gives $\frac{y}{x}$, the value of $\tan(2\pi)$ is $\frac{0}{1}$, which simplifies to $0$.
