find the value of tan(7pi/6)

Question

debbieg · Answer

Hmmm... that's true, but you don't need to do that. Multiples of $\pi/6$ are common unit circle angles, so you just need to use $\pi/6$ as your reference angle.

$7\pi/6$ is in which quadrant?

What is the sign of tangent, in that quadrant?

Then, since $\pi/6$ is your reference angle, you just need to use the fact that:

$\tan7\pi/6=\pm \tan\pi/6$, with the sign depending on the sign of tangent in the quadrant that you're in.

praxer · Answer

$$\pi/6 $$ is less than $$\pi/2$$ so it is in the first quadrant so the value will be positive.

debbieg · Answer

Wha???  $\pi/6$ is definitely in the first quadrant.  But that is only the REFERENCE angle.

$7\pi/6$  is the angle in question.

praxer · Answer

Multiply it with the general equation then and find the answer.