Solving Trigonometric Equations

00:00 6 marks

Solve the following trigonometric equations for \(0 \le x \le 2\pi\):

Part a

3 minutes 3 marks

Question

\(2\sin(x) – 1 = 0\)

Hint Hint

Hint

Isolate \(\sin(x)\) and find the angles in the unit circle where sine has that value.

Answer Answer
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Explanation Explanation
Formula Booklet

Answer Answer

Complete Answer

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

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Answer Explanation Answer Explanation

Formula Booklet

Part b

3 minutes 3 marks

Question

\(\sqrt{2}\cos(x) + 1 = 0\)

Hint Hint

Hint

Isolate \(\cos(x)\) and find the angles in the unit circle where cosine has that value.

Answer Answer
Mark Scheme Mark Scheme
Explanation Explanation
Formula Booklet

Answer Answer

Complete Answer

\(x = \frac{3\pi}{4}, \frac{5\pi}{4}\)

Mark Scheme Mark Scheme

Answer Explanation Answer Explanation

Formula Booklet

Solving Trigonometric Equations

Part a

Question

Hint

Complete Answer

Part b

Question

Hint

Complete Answer

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Solving Trigonometric Equations

Part a

Question

Hint

Complete Answer

Part b

Question

Hint

Complete Answer

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