Trigonometric equation reducing to equal squared cosines of an angle and its double

Trigonometric equation reducing to equal squared cosines of an angle and its double

IB Year 6 | Grade 12
6 marks

Solve the equation \(\cos^22x+\sin^2x=1\) for \(0\le x\le\pi\).[6]

Solution:

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Answer:\(x=0,\ \frac{\pi}{3},\ \frac{2\pi}{3},\ \pi\)

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