Question 1201910
.


Hey, see how simple it is:


<pre>
    You just know that  {{{cot(theta)}}} = {{{cos(theta)/sin(theta))}}}.  It is a general formula and general knowledge,
                                                             not depending on the given problem.


    Concretely in the problem, you are given the cosine: {{{cos(theta)}}} = {{{-sqrt(6)/3}}}.

    All you need now, is to calculate  {{{sin(theta)}}} = +/- {{{sqrt(1-cos^2(theta))}}}  and then to take the sign of the sine correctly.

    After that to make the needed ratio and complete simple arithmetic.


        +---------------------------------+
        |    That's all you need to do.   |
        |  That's all they want from you. |
        +---------------------------------+

</pre>

You are fully instructed.


----------------


For all such problems, the methodology of solution is the same,


and very first and critically important step is to make a &nbsp;{{{highlight(highlight(TRANSLATION))}}} 
on the language which you understand 


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(a) &nbsp;&nbsp;what is given 

&nbsp;&nbsp;&nbsp;&nbsp;and 

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;(b) &nbsp;&nbsp;what they want from you.



If you do not make this translation, &nbsp;you will not solve the problem: you simply will not know what to do.


As soon as you make such translation, &nbsp;the solution is easy.



......................



At the beginning, you should not think about details: where some elements/angles are located,

until you understand the major point: what is given and what they want from you.


As soon as you get it, you may start thinking about the details.