What is the exact value of tan -13pi/6 and also the explanation

asked Aug 9, 2015 134k views

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Unit circle! XD
Pi/6 is in the 30 degree family. What I do is multiply it by 180/pi to get it into degrees. Once you do this, the answer is -390

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$tan\left(-(13\pi)/(6)\right)=-tan\left(2(1)/(6)\pi\right)=-tan\left(2\pi+(1)/(6)\piright)=-tan(1)/(6)\pi=-(\sqrt3)/(3)$

Not Sure answered Aug 15, 2015

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