IB Math HL Trigonometry Test 5 2016 P1 Q3

IB Math HL Trigonometry Test 5 2016 P1 Q3

IB Year 6 | Grade 12
7 marks
  1. Show that \(\sin^4x+\cos^4x=1-\frac12\sin^22x\).[2]
  2. Solve \(\sin^4x+\cos^4x=\frac58\) for \(0\le x\le\pi\).[5]

Solution:

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Answer:(b) \(x=\frac{\pi}{6},\frac{\pi}{3},\frac{2\pi}{3},\frac{5\pi}{6}\).

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