Trigonometric Equations

15 practice questionsA-Level MathematicsStep-by-step solutions

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Solve $\cos x = \dfrac{1}{2}$ for $0 \le x < 2\pi$ .

x = \frac{\pi}{3}

x = \frac{4 \pi}{3},\ \frac{2 \pi}{3}

x = \frac{\pi}{3},\ \frac{5 \pi}{3}

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

Solve $\sin x = 0$ for $0 \le x < 2\pi$ .

x = 0,\ \pi

x = 0,\ \frac{\pi}{4},\ \pi

x = \frac{\pi}{2},\ \frac{3 \pi}{2}

x = 0

Solve $\sin x = 1$ for $0 \le x < 2\pi$ .

x = \frac{3 \pi}{2}

x = \frac{\pi}{2},\ \frac{3 \pi}{2}

x = \frac{\pi}{2},\ \frac{5 \pi}{6}

x = \frac{\pi}{2}

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