Question

Find all solutions in the interval [0, 2π). sin θ cos 3θ + cos θ sin 3θ = 0

Answer 1

sin u cos v +cos u sin v = sin (u+v)

Answer 2

θ=(nπ)/4

Answer 3

\[\sin 4\theta= 0 /theta= pi k/4

Answer 4

yes

Answer 5

Thank you!

Answer 6

is that all the solutions?

Answer 7

no,0,(π)/4,(π)/2,(3π)/4,π,(5π)/4,(3π)/2,(7π)/4

Answer 8

I forgot 0