Suppose $\sin(\alpha) = \frac{-6}{\sqrt{37}}$ and $\alpha$ terminates in Quadrant IV.

Without simplifying any square roots, select the correct sign ($+$ or $-$) and (positive) quotient for:

$\cos(\alpha) =$ ? + -

$\tan(\alpha) =$ ? + -

$\cot(\alpha) =$ ? + -

$\sec(\alpha) =$ ? + -

$\csc(\alpha) =$ ? + -