Year 12 Maths - Methods (Unit 3 & Unit 4)
Algebra and equations
Solution of trigonometric equations
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Questions
Question 1
198699
Solve \(\sin x=\dfrac{1}{2}\) for \(x\in[0,2\pi]\).
(i) State the first-quadrant solution.(ii) Hence state the other solution in \([0,2\pi]\).
Part a:
\(\dfrac{\pi}{6}\)
Correct
\(\dfrac{5\pi}{6}\)
\(\dfrac{\pi}{3}\)
\(30^\circ\)
Part b:
\(\dfrac{7\pi}{6}\)
\(\dfrac{5\pi}{6}\)
Correct
\(\dfrac{11\pi}{6}\)
\(\dfrac{\pi}{3}\)
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