Answer :

Sin=opp/hyp
So we know that opp=2 and hyp=3
Using Pythagorean Theorem, adj=sqrt(hyp^2-opp^2)
Adj=sqrt(3^2-2^2)=sqrt(5)
Cot=adj/opp
=[tex] \frac{ \sqrt{5} }{2} [/tex]

 

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