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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Analyzing +4 | -1
If sin⁡2(θ−α)cos⁡α=cos⁡2(θ−α)sin⁡α=msin⁡αcos⁡α\sin ^2(\theta-\alpha) \cos \alpha=\cos ^2(\theta-\alpha) \sin \alpha =m \sin \alpha \cos \alpha, then
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Correct option: B
∣m∣≥12|m| \geq \frac{1}{\sqrt{2}}
Option B (∣m∣≥12|m| \geq \frac{1}{\sqrt{2}}) is correct because it is derived by manipulating the given trigonometric equations and using the range of the sine function.

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