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Subject:  Trigonometry

Solve sin(x) = 1/2

Find every solution of a trigonometric equation, with the general solution.

Answer x ∈ {30°, 150°}; x = 30° + 360°·k or x = 150° + 360°·k (k ∈ ℤ)

Solution

  1. Equation sin(x) = 0.5
  2. Principal solutions 30°, 150° (in [0, 360°))
  3. General solution x = 30° + 360°·k or x = 150° + 360°·k (k ∈ ℤ)

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