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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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If asin⁡x+bcos⁡(x+θ)+bcos⁡(x−θ)=da \sin x+b \cos (x+\theta)+b \cos (x-\theta)=d, then the minimum value of ∣cos⁡θ∣|\cos \theta| is
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Correct option: A
12∣b∣d2−a2\frac{1}{2|b|} \sqrt{d^2-a^2}
Option A (12∣b∣d2−a2\frac{1}{2|b|} \sqrt{d^2-a^2}) is correct because it represents the minimum value of |cos θ| derived from the given equation.

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