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The value of \tan\ 60^{\circ} is

Option: 1

3


Option: 2

-3


Option: 3

-\sqrt{3}


Option: 4

\sqrt{3}


Answers (1)

best_answer

Given that,

\tan\ 60^{\circ}
\tan\ 60^{\circ}=\tan\ \frac{120^{\circ}}{2}
\tan\ \frac{120^{\circ}}{2}=\frac{1-\cos\ 120^{\circ}}{\sin\ 120^{\circ}}
\tan\ \frac{120^{\circ}}{2}=\frac{1-\left ( \frac{-1}{2} \right )}{\left ( \frac{\sqrt{3}}{2} \right )}
\tan\ \frac{120^{\circ}}{2}=\frac{\frac{3}{2}}{\left ( \frac{\sqrt{3}}{2} \right )}
\tan\ \frac{120^{\circ}}{2}=\frac{3}{\sqrt{3}}
\tan\ 60^\circ=\sqrt{3}





 

Posted by

jitender.kumar

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