Question

What is the exact value (using special triangles) of
sin 4π/3 ?

Answer 1

Do you know the exact value for sin(60)

Answer 2

that is sin(pi/3)

Answer 3

The associated acute angle of 4pi/3 is -pi/3. Hence \[\sin(4\pi/3)=\sin(-\pi/3)=-\sin(\pi/3)=-\frac{\sqrt 3}{2}\]

Answer 4

Thankyou so much for your help! I have another question like this and I think I kind of get it