IB Math HL Trigonometry Test 1 2012 P1 Q2

IB Math HL Trigonometry Test 1 2012 P1 Q2

IB Year 6 | Grade 12
9 marks

Given that \(\sin10^\circ=p\), express each of the following in terms of \(p\).

  1. \(\cos10^\circ\)[1]
  2. \(\cos20^\circ\)[1]
  3. \(\cos170^\circ\)[1]
  4. \(\sin190^\circ\)[1]
  5. \(\cos190^\circ\)[1]
  6. \(\tan350^\circ\)[1]
  7. \(\cos80^\circ\)[1]
  8. \(\cos100^\circ\)[1]
  9. \(\tan260^\circ\)[1]

Solution:

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

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