Find the exact value:

tan 47pi/6.

PLEASE HELP ME OUT. I HAVE NO IDEA HOW TO FIND THE EXACT VALUE OF THIS.

Question

Find the exact value:

tan 47pi/6.

PLEASE HELP ME OUT. I HAVE NO IDEA HOW TO FIND THE EXACT VALUE OF THIS.

goformit100 · Answer

@Hero

noelgreco · Answer

2pi = x pi/6

Can you calculate x ?

noelgreco · Answer

\[\frac{ x \pi }{ 6 }=2\pi]

anonymous · Answer

try to use calculator.. :)

noelgreco · Answer

Yeah.

Can you express 2 pi in sixths?

noelgreco · Answer

The calculator will not give an exact answer.

noelgreco · Answer

Of course there are tools in technology that provide the answer.

The nature of the question suggests that use of the unit circle is required for the solution.

campbell_st · Answer

this is the same as $$7 \frac{5 \pi}{6}$$

which is in the 4nd quadrant and the same as 

$$2 \pi - \frac{\pi}{6} $$

so tan is negative in the 4th quadrant... so just find the exact value of 

$$\frac{\pi}{6} $$ and make it negative.