008A Sample Final A, Question 18

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Question: Compute

1) Arctan can be thought of as referencing an angle in a triangle. What are the side lengths of the triangle?
1) Since tangent is opposite/adjacent, the side lengths of the triangle are


Step 1:  
  is the measure of an angle in the triangle with side lengths . The angle that corresponds to is the one between the side of length 3 and the side of length  
Step 2:  
Now we just have to take   of the angle referred to in step 1.
Final Answer:  

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