Question

find the exact value of
sin2π/3

Answer 1

0.8660254038

Answer 2

sqrt3/2

Answer 3

wat answer do u want

Answer 4

find the coordinates of the point on the unit circle corresponding to the angle \(\frac{2\pi}{3}\) on the last page of the attached cheat sheet.
the first coordinate is \(\cos(\frac{2\pi}{3}) \)the second coordinate is \(\sin(\frac{2\pi}{3})\)

Answer 5

\[\pi/3=60^0\]do you know the exact values of \(\sin(60)\) and \(\cos(60)\)?
if you do then you can use the identity:\[\sin(2x)=2\sin(x)\cos(x)\]to work this out.

Answer 6

too much work

Answer 7

k sir

Answer 8

you can also use the identity:\[\sin(x)=\sin(\pi-x)\]to get:\[\sin(2\pi/3)=\sin(\pi-2\pi/3)=\sin(\pi/3)\]

Answer 9

but why \[\sin(x)=\sin(\pi-x)\]
It is becoz u should know that in 2nd quadrant sine is (+)ve.

Answer 10

yes you can do either of those things, but it is really easier to locate \(\frac{2\pi}{3}\) on the unit circle and read off the coordinates

Answer 11

yes @satellite73 sir are correct
even my words lie on the unit circle:)