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MCQMediumJEE Main 2026 · 23 January, Shift 1Trigonometric Ratios & Identities

Mathematics Question from JEE Main 2026 · 23 January, Shift 1

Let α\alpha and β\beta respectively be the maximum and the minimum values of the function f(θ)=4(sin⁡4(7π2−θ)+sin⁡4(11π+θ))−2(sin⁡6(3π2−θ)+sin⁡6(9π−θ))f(\theta) = 4\left(\sin^4\left(\frac{7\pi}{2} - \theta\right) + \sin^4(11\pi + \theta)\right) - 2\left(\sin^6\left(\frac{3\pi}{2} - \theta\right) + \sin^6(9\pi - \theta)\right). Then α+2β\alpha + 2\beta is equal to :

  • A

    44

  • B

    33

  • C

    55

  • D

    66

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