Let (π)/2<x<π be such that cot x=dfrac-5√(11). Then (sin11x/2 ) (sin 6x-cos 6x )+ (cos11x/2 ) (sin 6x+cos 6x ) is equal to

Let (π)/2<x<π be such that cot x=dfrac-5√(11). Then… — JEE Advanced 2024 Mathematics PYQ

JEE Advanced 2024 · Paper 1

Let

\dfrac{\pi}{2}<x<\pi

be such that

\cot x=\dfrac{-5}{\sqrt{11}}

. Then

\left(\sin\dfrac{11x}{2}\right)\!\left(\sin 6x-\cos 6x\right)+\left(\cos\dfrac{11x}{2}\right)\!\left(\sin 6x+\cos 6x\right)

is equal to

Show answer

Correct option: B

[JEE Advanced 2024 · Paper 1]

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