Question

how do i compute the exact value of sin(-10pi/3)

Answer 1

remember that sin(x) = sin(2pi + x). That will help you.

Answer 2

Exact value means numerical approximation?

Answer 3

exact value means exact, closed form value.

Answer 4

e.g., sin(pi/3) = sqrt(3)/2

Answer 5

that's the exact value of sin(pi/3)

Answer 6

Anyway, use sin(x) = sin(2pi + x)

Answer 7

the answer is in fraction form for example root3/3
how do i get it to that?

Answer 8

draw unit circle

Answer 9

ok i have one next to me

Answer 10

\[\sin(-\frac{10\pi}{3})=\sin(\frac{-12\pi}{3}+\frac{2\pi}{3})=\sin(-4\pi+\frac{2\pi}{3})=\sin(\frac{2\pi}{3})\]
\[\sin\left(\frac{2\pi}{3}\right)=\left(\frac{\sqrt{3}}{2}\right)\]