How would I imput all of these into a TI 83/84 where there are no buttons to imput them help would be of essence...
$\displaystyle csc(x) = \frac{1}{sin(x)}$
$\displaystyle sec(x) = \frac{1}{cos(x)}$
$\displaystyle cot(x) = \frac{1}{tan(x)}$
So for $\displaystyle csc \left ( \frac{ \pi}{3} \right )$, for example, find$\displaystyle sin \left ( \frac{ \pi}{3} \right ) = \frac{\sqrt{3}}{2}$ and take the inverse (the $\displaystyle x^{-1}$ button): $\displaystyle csc \left ( \frac{ \pi}{3} \right ) = \frac{2}{\sqrt{3}} = \frac{2\sqrt{3}}{3}$.
For the inverses the process is similar. For example: $\displaystyle sec^{-1}(2) $, you would find $\displaystyle cos^{-1} \left ( \frac{1}{2} \right ) = \frac{\pi}{3}$.
-Dan