tan(10pi/3)

**weasley74** · February 12th 2008, 11:55 AM

isn't tan(10pi/3) supposed to be sqrt(3).. ?

**Jhevon** · February 12th 2008, 11:58 AM

Originally Posted by weasley74

isn't tan(10pi/3) supposed to be sqrt(3).. ?

yes

you could have checked that on your calculator, you know

**janvdl** · February 12th 2008, 12:03 PM

Originally Posted by Jhevon

you could have checked that on your calculator, you know

In my mathematics course, no calculators are allowed at all. They're like completely "banned". You may not even multiply or add or do anything similar with it. Might be the same case here. Where you actually have to show all of your steps.

**weasley74** · February 12th 2008, 12:07 PM

yeah, calculators not allowed..

**janvdl** · February 12th 2008, 12:09 PM

Originally Posted by weasley74

isn't tan(10pi/3) supposed to be sqrt(3).. ?

$\frac{10 \pi }{3} = 3 \pi + \frac{ \pi }{3}$

**Jhevon** · February 12th 2008, 12:12 PM

no calculators, no problem!

you should know $\tan \frac {\pi}3$ by heart, or know how to get is from the sine and cosine of pi/3

then, by reference angles, $\tan \frac {k \pi}3 = \pm \tan \frac {\pi}3$

the sign depends on what quadrant the angle $\frac {k \pi}3$ is. $\frac {10 \pi}3$ is in the third quadrant, so we take the plus sign

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