Question

sin 8pi exact value

Answer 1

Radians, like all angular units of measure, are modular. Therefore, \(8 \pi\) = \(8 \pi \mod 2 \pi\). So, what we're saying here is that by dividing by \(2 \pi\) and taking the remainder gets you the angle. Now we're asking:
$$\sin 8 \pi = \sin (8 \pi \mod 2 \pi) = \sin 0$$
What is \(\sin 0\)?

Answer 2

sin 0 is 0 right? so since the terminal arm lies on one of the axis, it would be 0? ( exact value )

Answer 3

well the sine of every multiple of 2pi is 0 and 8 pi is a multiple of 2 pi right so

Answer 4

its sine is 0 thats an easier way to think of it

Answer 5

oh thanks, just stumbled upon this website its already fantastic :)

Answer 6

Yeah, but thinking of angle modular-ly is useful.