Solving the Basic Trigonometric Equation

00:00 2 marks

  • Build Confidence
  • SL & HL
  • Tier 2
  • Trigonometric equations
  • Symmetry of sine function
  • Principal value
  • Solutions in a given domain

Solve the trigonometric equation \(\sin x = \tfrac{1}{2}\) for \(x\) in the interval \([0, 2\pi)\).

Hint Hint

Hint

Recall the unit circle and identify the angles in the given interval where the sine function equals \(\tfrac{1}{2}\).

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Complete Answer

\(x = \tfrac{\pi}{6}\) and \(x = \tfrac{5\pi}{6}\)

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