Equation in the tangent of a triple angle and its reciprocal, reducing to a quadratic
Equation in the tangent of a triple angle and its reciprocal, reducing to a quadratic
IB Year 6 | Grade 12
5 marks
Solve the equation \(\tan3x+\frac{1}{\tan3x}=\frac{4}{\sqrt3}\) for \(0<x<\frac{\pi}{2}\).[5]
Solution:
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Answer:\(x=\frac{\pi}{18},\ \frac{\pi}{9},\ \frac{7\pi}{18},\ \frac{4\pi}{9}\)
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