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if TanA+1/TanA = 2 , find the value of tan^2+1/tan^2A

 May 19, 2015

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 #1
avatar+118667 
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if TanA+1/TanA = 2 , find the value of tanA^2+1/tan^2A

$$\\tanA+\frac{1}{tanA} = 2\\\\
\left(tanA+\frac{1}{tanA}\right)^2 = 2^2\\\\
tan^2A+\frac{1}{tan^2A}+2*tanA*\frac{1}{tanA}= 4\\\\
tan^2A+\frac{1}{tan^2A}+2= 4\\\\
tan^2A+\frac{1}{tan^2A}= 2\\\\$$

 May 19, 2015
 #1
avatar+118667 
+5
Best Answer

if TanA+1/TanA = 2 , find the value of tanA^2+1/tan^2A

$$\\tanA+\frac{1}{tanA} = 2\\\\
\left(tanA+\frac{1}{tanA}\right)^2 = 2^2\\\\
tan^2A+\frac{1}{tan^2A}+2*tanA*\frac{1}{tanA}= 4\\\\
tan^2A+\frac{1}{tan^2A}+2= 4\\\\
tan^2A+\frac{1}{tan^2A}= 2\\\\$$

Melody May 19, 2015

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