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CDS 2022 · PYQ · Trigonometry · medium

What is the length of the chord of a unit circle which subtends an angle 2θ at the centre, where θ < 45°?

Answer

The correct answer is A: 2sinθ. Chord length = 2r·sin(θ) where 2θ is central angle. With r=1, length = 2sinθ.

  1. A.2sinθ✓ Correct
  2. B.cos2θ
  3. C.sin2θ
  4. D.2cosθ

Explanation

Chord length = 2r·sin(θ) where 2θ is central angle. With r=1, length = 2sinθ.
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