Answer:
Step-by-step explanation:
[tex]sin ~2~ \theta=-1=-sin~ \pi /2\\=sin ~(\pi +\pi /2),sin ~(2\pi +\pi +\pi /2)\\=sin~(3\pi /2),sin~(7\pi /2)\\2 ~\theta=3 \pi/2,7 \pi /2\\\theta=3\pi /4,7\pi /4[/tex]
Answer:
θ = 3π/4, 7π/4
Step-by-step explanation:
sin 2θ = -1
basic angle = π/2
2θ = 2π - π/2 = 3π/2,
3π/2 + 2π = 7π/2
θ = 3π/4, 7π/4
