Solving an equation in the square of the tangent of a multiple angle

Solving an equation in the square of the tangent of a multiple angle

IB Year 6 | Grade 12
6 marks

Solve the equation \(3\tan^23x=1\) for \(0\le x\le\pi\).[6]

Solution:

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Answer:\(x=\frac{\pi}{18},\ \frac{5\pi}{18},\ \frac{7\pi}{18},\ \frac{11\pi}{18},\ \frac{13\pi}{18},\ \frac{17\pi}{18}\)

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