Question

Find the exact value:

tan 47pi/6.

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

Answer 1

@Hero

Answer 2

2pi = x pi/6

Can you calculate x ?

Answer 3

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

Answer 4

try to use calculator.. :)

Answer 5

Yeah.

Can you express 2 pi in sixths?

Answer 6

The calculator will not give an exact answer.

Answer 7

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.

Answer 8

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.