Okay how do I evaluate sin (6 pi)?

Question

See, I have HW and I keep getting stuff like sin 6 pi or sin 2pi to evaluate and I dont know how!

Here is the problem:

tan (6 pi) - sin (14 pi/ 3) * cos (17 pi/6)
???? - sin (pi/3) * cos (pi/6)
???? - sin (60) * cos (30)
???? - (radical [3] / 2) * (radical [3] / 2)
???? - 3 / 4

I know the correct answer is POSITIVE 3/4. I guess I need help with the tan (6pi)

Please?

So where did I mess up with a negative?

Answer 1

sin 6pi = 0, since sin 0 = sin pi = sin 2pi etc. tan 6pi = 0 since tan 0 = 0

Now redo your hw