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Home > PC3 > Chapter 8 > Lesson 8.3.3 > Problem 8-117

8-117.
  1. 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 ✎

  2. = 3

    1. Her friend Carlo suggests that she make the substitution u = sin(θ). Make this substitution and write the equation in terms of u.

    2. Solve the equation for u.

    3. 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