Question: Compute 
| Foundations
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| 1) Arctan can be thought of as referencing an angle in a triangle. What are the side lengths of the triangle?
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| Answer:
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| 1) Since tangent is opposite/adjacent, the side lengths of the triangle are Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle 3,5{\text{, and }}{\sqrt {34}}}
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Solution:
| Step 1:
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| Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle \arctan \left({\frac {5}{3}}\right)}
is the measure of an angle in the triangle with side lengths Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle 3,5{\text{, and }}{\sqrt {34}}}
. The angle that corresponds to Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \arctan\left(\frac{5}{3}\right)}
is the one between the side of length 3 and the side of length Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \sqrt{34}}
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| Step 2:
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| Now we just have to take Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \cos}
of the angle referred to in step 1.
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| Final Answer:
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| Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \cos\left(\arctan\frac{5}{3}\right) = \frac{5}{\sqrt{34}}}
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