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June 2010 p11 q1
590

The acute angle x radians is such that \(\tan x = k\), where \(k\) is a positive constant. Express, in terms of \(k\),

  1. \(\tan(\pi - x)\),
  2. \(\tan\left(\frac{1}{2}\pi - x\right)\),
  3. \(\sin x\).
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