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MathsJEE Main 22 Jan 2026, Shift 1·Q24·Numerical·Moderate

Trigonometry · Product formulae and standard angles

If cos⁡248∘−sin⁡212∘sin⁡224∘−sin⁡26∘=α+β52\dfrac{\cos^2 48^\circ - \sin^2 12^\circ}{\sin^2 24^\circ - \sin^2 6^\circ} = \dfrac{\alpha + \beta\sqrt5}{2}, where α,β∈N\alpha, \beta \in \mathbb{N}, then α+β\alpha + \beta is equal to .

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