MHB Find All Trig Functions of Gamma Given cot(gamma)=4/3

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Given cot(gamma) = 4/3, the triangle formed has sides AC = 4, BC = 3, and AB = 5, which is derived using the Pythagorean theorem. From this, the sine, cosine, and tangent functions can be calculated: sin(gamma) = 3/5, cos(gamma) = 4/5, and tan(gamma) = 3/4. Additionally, the cosecant, secant, and cotangent functions are found to be csc(gamma) = 5/3, sec(gamma) = 5/4, and cot(gamma) = 4/3, confirming the initial condition. All five remaining trigonometric functions of gamma have been successfully determined. This solution illustrates the relationship between the cotangent and the other trigonometric functions.
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Given cot(gamma)=4/3 find all possible values of the five remaining trigonometric functions of γ.

Could somebody help me here?
Thanks
 
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Let's make a diagram.

\begin{tikzpicture}
\draw (0,0) node[anchor=north]{$A$}
-- (4,0) node[anchor=north]{$C$}
-- (4,4) node[anchor=south]{$B$}
-- cycle;
\end{tikzpicture}

Using the given information and Pythagoras:

$$\overline{AC}=4\quad\overline{BC}=3\quad\overline{AB}=5$$

Now, can you determine the five remaining trigonometric ratios?
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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