Solve Trig Question: cot(Arctan (-√(5)/2))

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To solve the trigonometric question cot(Arctan(-√(5)/2)), it's important to recognize that cot(x) is the reciprocal of tan(x). Therefore, cot(Arctan(-√(5)/2)) simplifies to 1/tan(Arctan(-√(5)/2)). Since tan(Arctan(-√(5)/2)) equals -√(5)/2, the final result is cot(Arctan(-√(5)/2)) = -2/√5. Understanding these relationships is crucial for solving similar trigonometric problems.
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Homework Statement


How do I solve this trig question?
cot(Arctan (-√(5)/2))

Homework Equations


The usual equation I know of which is easy o identify on the Unit circle is √3/2. I don't know how to approach this one..


The Attempt at a Solution


 
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You do know that cot(x)= 1/tan(x) don't you? So cot(Arctan (-√(5)/2))= 1/tan(Arctan (-√(5)/2)).

And what do you think tan(Arctan (-√(5)/2)) is?
 
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