A line makes the angle \theta with each of the x and z axes.... — Mathematics 2022

Question 117 Mathematics 2022 Medium MCQ +5.00 marks · -1.00 negative

A line makes the angle \(\theta\) with each of the \(x\) and \(z\) axes. If the angle \(\beta\) which it makes with \(y\)-axis is such that \(\sin^2\beta = 3\sin^2\theta\), then the value of \(\cos^2\theta\) is

A. \(\frac{2}{5}\) B. \(\frac{1}{5}\) C. \(\frac{3}{5}\) D. \(\frac{2}{5}\)

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