SOLUTION: What is the EXACT answer of cot(22.5)?

Question 535684: What is the EXACT answer of cot(22.5)?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
What is the EXACT answer of cot(22.5)
use half angle formula for tan
tan(22.5�)=tan (45�/2)=(sin 45)/(1+cos(45))
tan(22.5�)=(√2/2)/(1+√2/2)=(√2/2)/(2+√2)/2=√2/(2+√2)
cot(22.5�)=1/tan(22.5�)=(2+√2)/√2=(2√2+2)/2=√2+1
cot(22.5�)=√2+1
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