2026 CVSS P2 Q6

2026 CVSS P2 Q6

Secondary 4
7 marks
  1. Prove that \(\cot\theta=\cot2\theta+\operatorname{cosec}2\theta\).[3]
  2. Hence, find the values of \(\theta\) such that \(\cot2\theta+\operatorname{cosec}2\theta=2\cos\theta\), for \(0\le\theta\le\pi\).[4]

Solution:

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Answer:(a) Shown on the common domain. (b) \(\theta=\pi/6,5\pi/6\).

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