Solving Trigonometric Equations – ++ Prep

Solving Trigonometric Equations

00:00 4 marks

Solve the equation \(\sin(2x) – \cos(x) = 0\) for \(x \in [-\pi, \pi]\). Show all algebraic steps.

Hint Hint

Hint

Use the double-angle identity to express \(\sin(2x)\) in terms of \(\sin(x)\) and \(\cos(x)\).

Answer Answer
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Formula Booklet

Answer Answer

Complete Answer

x = -\(\frac{\pi}{2}\), \(\frac{\pi}{2}\), \(\frac{\pi}{6}\), \(\frac{5\pi}{6}\)

Mark Scheme Mark Scheme

Answer Explanation Answer Explanation

Examiner Tips Examiner Tips

Common Errors Common Errors

Focus Focus

Formula Booklet

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