NDA Sets and Relations — practice questions

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Sets and Relations questions and exercises with answers

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If cos θ = −1/2 and θ ∈ (π, 3π/2), then θ equals:Read the answer and worked solution →

Worked practice questions

If cos θ = −1/2 and θ ∈ (π, 3π/2), then θ equals:

2π/3
π
5π/3
4π/3

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Correct answer: D. 4π/3

1. cos θ = −1/2 at θ = 2π/3 and θ = 4π/3 (within [0, 2π]). 2. We need θ in the third quadrant (π, 3π/2). 3. 4π/3 ≈ 240° lies in (180°, 270°), so θ = 4π/3. _Source: syllabus Maths Ch 3 §3.5 (specific solutions)_

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