IB Math HL Trigonometry Test 2 2013 P2 Q3

IB Math HL Trigonometry Test 2 2013 P2 Q3

IB Year 6 | Grade 12
6 marks

Given that \(\cos100^\circ=p\), express each value in terms of \(p\).

  1. \(\sin100^\circ\)[1]
  2. \(\cos200^\circ\)[1]
  3. \(\cos50^\circ\)[1]
  4. \(\cos80^\circ\)[1]
  5. \(\tan260^\circ\)[1]
  6. \(\sin10^\circ\)[1]

Solution:

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Answer:(a) \(\sqrt{1-p^2}\); (b) \(2p^2-1\); (c) \(\sqrt{\frac{p+1}{2}}\); (d) \(-p\); (e) \(-\frac{\sqrt{1-p^2}}p\); (f) \(-p\).

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