Q.1 (ii) The principle solutions of the equation cosθ = 1/2 are _____. A. π/6, 5π/6 B. π/3, 5π/3 C. π/6, 7π/6 D. π/3, 2π/3

Answer: B. π/3, 5π/3 Answer: (b) π/3, 5π/3 Principal solutions lie in [0, 2π) . cosθ = 1/2 gt 0 , so θ is in the first or fourth quadrant: θ = π/3 and θ = 2π - π/3 = 5π/3 .

The principle solutions of the equation \(\cos\theta = \frac{1}{2}\) are _____.

Q.1 (ii) The principle solutions of the equation \(\cos\theta = \frac{1}{2}\) are _____.

A. \(\frac{\pi}{6}, \frac{5\pi}{6}\)

B. \(\frac{\pi}{3}, \frac{5\pi}{3}\)

C. \(\frac{\pi}{6}, \frac{7\pi}{6}\)

D. \(\frac{\pi}{3}, \frac{2\pi}{3}\)

Doubtly Asked 29 Oct 2026 Board exam · March 2024 hsc 12th Save WhatsApp Report

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Answer: B. \(\frac{\pi}{3}, \frac{5\pi}{3}\)

Answer: (b) \(\frac{\pi}{3}, \frac{5\pi}{3}\)

Principal solutions lie in \([0, 2\pi)\). \(\cos\theta = \frac{1}{2} \gt 0\), so \(\theta\) is in the first or fourth quadrant: \(\theta = \frac{\pi}{3}\) and \(\theta = 2\pi - \frac{\pi}{3} = \frac{5\pi}{3}\).

Doubtly AI · 29 Oct 2026 AI-generated · not yet verified Report

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The principle solutions of the equation \(\cos\theta = \frac{1}{2}\) are _____.

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