Question:medium

If \(\alpha\) and \(\beta\) are acute angles and \[ \cos\alpha(1+\tan\alpha\tan\beta)=1, \] then \[ \sin\left(\frac{\alpha-2\beta}{3}\right)= \]

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Whenever an equation reduces to \(\cos A=\cos B\), use angle restrictions before writing the general solution.
Updated On: Jun 18, 2026
  • \(\frac12\)
  • \(\frac{\sqrt3}{2}\)
  • \(\frac35\)
  • \(0\)
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The Correct Option is D

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