Let \alpha and \beta respectively be the maximum and the minimum values of the function f(\theta)=4 ( \sin ^4 (\frac{7 \pi}{2}-\theta) + \sin ^4(11 \pi+\theta)) -2 ( \sin ^6 (\frac{3 \pi}{2}-\theta) + \sin ^6(9 \pi-\theta)) Then \alpha+2 \beta is equal to : [23 Jan 2026 Shift 1]

Application of Derivatives Part 3

Section: Mathematics

Question : 4 of 30

Marks: +1, -0

Let α and β respectively be the maximum and the minimum values of the function f(θ)=4(sin‌4(‌

7π

−θ)+sin‌4(11π+θ))−2(sin‌6(‌

3π

−θ)+sin‌6(9π−θ)) Then α+2β is equal to :

[23 Jan 2026 Shift 1]

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