Question

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Answer 1

Answer:

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Answer 2

Answer:

$\sqrt{3}$

Step-by-step explanation:

tan 60 = tan 2(30)

∴ tan 2(30) =$\frac{2 tan 30}{1 - tan^{2} 30 }$

                 = $\frac{2 * \frac{1}{\sqrt{3} } }{1 - (\frac{1}{\sqrt{3} })^{2} }$

                 = $\frac{\frac{2}{\sqrt{3} } }{1 - \frac{1}{3} } }$

                  = $\frac{\frac{2}{\sqrt{3} } }{\frac{3-1}{3} } }$

                  = $\frac{\frac{2}{\sqrt{3} } }{\frac{2}{3} } }$

                  = $\frac{3}{\sqrt{3} }$

                  = $\sqrt{3}$

Thus, tan 2(30) = $\sqrt{3}$

         tan 60 = $\sqrt{3}$

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