Exact value of the six functions given

[smsmith]

Give the exact value of the six functions of the angle theta whose terminal side passes through the point.

(2/3,5/2).

I can not figure out how to relate this to the unit circle. I would appreciate any input.
Thanks in advance,

 

[pka]

Please review you post.
Have you given the correct point?
If so, the answers are quite messy.

 

[smsmith]

exact values of six functions

That is the correct location. (2/3,5/2)

That is probably why I am struggling so mightily with this question. Any input wouls help.

 

[pka]

\(\displaystyle \L
\begin{array}{l}
r = \sqrt {\left( {\frac{2}{3}} \right)^2 + \left( {\frac{5}{2}} \right)^2 } = \frac{{\sqrt {241} }}{6} \\
\cos \left( \theta \right) = \frac{x}{r},\quad \sin \left( \theta \right) = \frac{y}{r}\quad \& \quad \tan \left( \theta \right) = \frac{y}{x} \\
\end{array}.\)

 

[smsmith]

Thanks for the assistance that was very helpful. Now I feel silly for having stuggled with that one. Thanks again!