2026 HGV P1 Q2

2026 HGV P1 Q2

Secondary 4
6 marks

Given that \(\cos A=-\dfrac45\) and \(\tan A>0\), find the exact value of the following.

  1. \(\tan A\)[1]
  2. \(\sin2A\)[2]
  3. \(\cos\dfrac12A\)[3]

Solution:

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Answer:(a) \(\dfrac34\). (b) \(\dfrac{24}{25}\). (c) \(-\dfrac{\sqrt{10}}{10}\) if \(0\le A<2\pi\); without an angle range, either sign is possible.

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