Question

Help? D: How do you determine the exact trigonometric ratio of tan 5pi/12?

Answer 1

well 5/12 = 3/12 + 2/12 right?

Answer 2

..Yeah

Answer 3

and
3/12 is 1/4
2/12 is 1/6

Answer 4

Mhm

Answer 5

I understand that far.. Kind of

Answer 6

sweet so that means that:
\[\tan ({5\pi \over 12} )= \tan ({3\pi \over 12} + {2\pi \over 12}) = \tan ({\pi \over 4} + {\pi \over 6})\]

Answer 7

That makes sense so far, it's usually what follows that ends up looking like Chinese. >.<

Answer 8

Well then you can use an identity...

Answer 9

the bottom one should work

Answer 10

Do you mind showing me how it would work out?.. >.< Sorry

Answer 11

No its fine =) as long as you help me

Answer 12

what would you use for u?

Answer 13

what about v?

Answer 14

so u can be 1/4 and v can be 1/6

Answer 15

Yep! make sure you use (1/4)* pi\[\tan ({\pi \over 4} + {\pi \over 6})\]

Answer 16

u = \(\pi \over 4\)
v = \(\pi \over 6\)

Answer 17

we end up with