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0606/21 May/Jun 2026, Question 9: Solving Trig Equations

Cambridge IGCSE Additional Mathematics 0606 · Paper 21 (Calculator) · Calculator · 5 marks

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The question, in short

Solve 5 − 2 cosec(θ − 0.5) = 0 for θ in radians within −3.5 ≤ θ ≤ 3.5.

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Solution · 5 marks

  1. 1cosec(θ − 0.5) = 5/2, so sin(θ − 0.5) = 0.4
  2. 2θ − 0.5 = 0.4115, π − 0.4115 = 2.7301, or −π − 0.4115 = −3.5531
  3. 3θ = 0.912, 3.23, −3.05

Answerθ = 0.912, 3.23, −3.05

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Also searched as: 0606/21/M/J/26 · 0606_s26_qp_21 · 0606 s26 21 · question 9.
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