Quantitative Aptitude Trigonometry Trigonometric Ratios and Identities

If \(\frac{\cos \beta}{\sec \alpha}\) = 15 and \(\frac{\sin \beta}{\sec \alpha}\) = 16, then the value of sin2β is ___________.

1
\( \frac{256}{481} \)
2
\(-\frac{256}{481} \)
3
\( \frac{481}{256} \)
4
\(-\frac{481}{256}\)

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