IB Math HL Trigonometry Test 4 2015 P2 Q3

IB Math HL Trigonometry Test 4 2015 P2 Q3

IB Year 6 | Grade 12
7 marks

Let \(f(x)=5\sin2x+12\cos2x\).

  1. Find the exact period of \(f\).[2]
  2. Find the maximum value of \(f\).[1]
  3. Given that \(f(x)=A\sin(Bx+C)\), find[4]
    1. \(A>0\);
    2. \(B\);
    3. a value of \(C\).

Solution:

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Answer:(a) \(\pi\). (b) \(13\). (c) \(A=13,B=2,C=\arctan\frac{12}{5}\).

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