Solve sin ( 5 θ ) = − 1 2 for θ in the interval [ 0 , 2 π ) for the first four solutions only. what are the answers in exact form, in ascending order

Answer 1

Assuming sin 5θ = -1/2,

Then 5θ is either 7π/6 or 11π/6.

θ is either 7π/30 or 11π/30

Don't know what you mean by "first four solutions."

There are only two.