IB Math HL Trigonometry Test 3 2014 P2 Q3

IB Math HL Trigonometry Test 3 2014 P2 Q3

IB Year 6 | Grade 12
6 marks

Let \(f(x)=\sin2x+\cos3x\).

  1. Find the exact period of \(f\).[2]
  2. Find the maximum value of \(f\).[1]
  3. Solve \(f(x)=1\) for \(0\le x\le2\pi\).[3]

Solution:

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Answer:(a) \(2\pi\). (b) \(1.91\). (c) \(x=0,0.451,3.70,4.50,2\pi\).

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