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$If a \sin x + b \cos (x + θ) + b \cos (x - θ) = d, then min value of | \cos θ | =$

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Correct option is A

asinx+bcos(x+θ)+bcos(x-θ)=d⇒asinx+2bcosθcosx=d|d|≤a2+4b2cos2θ ∵asinx+bcosx≤a2+b2⇒|cosθ|≥12|b|d2-a2

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If asinx+bcos(x+θ)+bcos(x-θ)=d, then min value of |cosθ|=

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Ready to Test Your Skills?

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$If a \sin x + b \cos (x + θ) + b \cos (x - θ) = d, then min value of | \cos θ | =$