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Trigonometric Functions and Equations question

2024 · Shift 1 · Q20
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  2. /JEE Advanced
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  4. /Trigonometric Functions and Equations
  5. /2024 · Shift 1 · Q20

Trigonometric Functions and Equations question

2024 · Shift 1 · Q20

JEE AdvancedMathematicsTrigonometric Functions and EquationsMCQ+3 / −1
Let π2\frac{\pi}{2}2π​(sin⁡11x2)(sin⁡6x−cos⁡6x)+(cos⁡11x2)(sin⁡6x+cos⁡6x)\left(\sin \frac{11 x}{2}\right)(\sin 6 x-\cos 6 x)+\left(\cos \frac{11 x}{2}\right)(\sin 6 x+\cos 6 x)(sin211x​)(sin6x−cos6x)+(cos211x​)(sin6x+cos6x)$ is equal to :
  1. A
    11−123\frac{\sqrt{11}-1}{2 \sqrt{3}}23​11​−1​
  2. B
    11+123\frac{\sqrt{11}+1}{2 \sqrt{3}}23​11​+1​
  3. C
    11+132\frac{\sqrt{11}+1}{3 \sqrt{2}}32​11​+1​
  4. D
    11−132\frac{\sqrt{11}-1}{3 \sqrt{2}}32​11​−1​
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