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The value of tan (2tan^(-1) 1/5) is 12/5. (True/False)

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The value of tan (2tan-1\(\frac{1}{5}\)) is \(\frac{12}{5}\)  (True/False)

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2 Answers

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by (78.6k points)

Correct answer is False

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by (1.5k points)

tan(2tan-1 1/5  )  = 2 tan ( tan-1 1/5 )/{ 1- tan ( tan-1 1/5 ) tan ( tan-1 1/5 ) }

2 ( 1/5)/{ 1 - (1/5)(1/5)}  = ( 2/5)/{ 24/25} = 5/12

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