IB Math HL Trigonometry Test 2 2013 P1 Q2

IB Math HL Trigonometry Test 2 2013 P1 Q2

IB Year 6 | Grade 12
6 marks

Let \(f(x)=2\tan^2x-5\sec x-10\sin^2x-10\cos^2x\).

  1. Express \(f(x)\) in terms of \(\sec x\) only.[2]
  2. Solve \(f(x)=0\) for \(0\le x\le\pi\). Express the answers in the form \(\arccos\frac ab\).[4]

Solution:

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Answer:(a) \(2\sec^2x-5\sec x-12\). (b) \(x=\arccos\frac14\) or \(x=\arccos(-\frac23)\).

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