Subject:  Trigonometry

Solve tan(x) = 1

Solve a tangent equation and express the general solution.

Answer x ∈ {45°, 225°}; x = 45° + 180°·k (k ∈ ℤ)

Solution

  1. Equation tan(x) = 1
  2. Principal solutions 45°, 225° (in [0, 360°))
  3. General solution x = 45° + 180°·k (k ∈ ℤ)

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