Solve Trigonometric Equation

00:00 3 marks

  • Exam Style - Paper 1
  • SL
  • Tier 2
  • Trigonometric equations
  • Radian measure
  • Sine function

Solve the equation \(2\sin(x) – 1 = 0\) for \(0 \leq x \leq 2\pi\).

Hint Hint

Hint

Isolate \(\sin(x)\) to determine its value. Remember to consider all quadrants where sine is positive within the given domain \(0 \leq x \leq 2\pi\). Visualizing the unit circle can be helpful.

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Complete Answer

\(x = \frac{\pi}{6}, \frac{5\pi}{6}\)

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