How do you evaluate $tan300$ ?

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Answer 1 · 2016-06-18T04:17:29

$tan300^o=-sqrt3$

It is presumed that by $tan300$ it is meant to be $tan300^o$ .

As adding or subtracting multiples of $2pi$ radians or $360^o$ does not change the trigonometric ratio

$tan300^o=tan(360^o-60^o)=tan(-60^o)$

Further as $tan(-theta)=-tantheta$

$tan300^o=tan(-60^o)=-tan60^o=-sqrt3$

How do you evaluate tan300tan300?