Question

find six angles for which sin theta=-√3/2

Answer 1

300 , 660 , 1020 , 1380 , 1740 , 2100 , 2460 , 2820 , 3180

Answer 2

Thank you for asking this question:

sin θ = -√3/2 = - sin π/3 = sin 4πr/3

sinθ = sin 4πr/3

θ = nπ + (-1)^n (4π/3)

Now we will put the value of n here

n = 1,2,3,4,5,6

means we can get the 6 different values when trying to find n.

If there is any confusion please leave a comment below.