Yuka is trying to solve the following equation for θ, but is so confused by all the symbols; she does not know what to do. Homework Help ✎
Her friend Carlo suggests that she make the substitution u = sin(θ). Make this substitution and write the equation in terms of u.
Solve the equation for u.
Solve the equation for θ if 0 ≤ θ < 2π.
Note: u ≠ 0 because you would have division by zero.
u2 − 4u = 3u2
u3 − 3u2 − 4u = 0
u(u2 − 3u − 4) = 0