If $\cos(t)=-\frac{3}{5}$ where $\pi < t < \frac{3\pi}{2}$, find the values of the following trigonometric functions.
Note: Give exact answers, do not use decimal numbers. The answer should be a fraction or an arithmetic expression. If the answer involves a square root it should be enter as sqrt; e.g. the square root of 2 should be written as sqrt(2).

$\cos(2t)$ =
$\sin(2t)$=
$\cos(\frac{t}{2})$=
$\sin(\frac{t}{2})$=