Suppose that $\sin(\theta) = 3 / 5$ and $\theta$ is in the second quadrant. Use trigonometric identities to find the following quantities exactly.

(a) $\cos(\theta)$ = help (numbers)

(b) $\sin(2\theta)$ = help (numbers)

(c) $\cos(2\theta)$ = help (numbers)

(d) $\tan(2\theta)$ = help (numbers)