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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Application +4 | -1
If 3sin⁡θ+4cos⁡θ=53 \sin \theta+4 \cos \theta=5, then the value of 3cos⁡θ−4sin⁡θ3 \cos \theta-4 \sin \theta is equal to
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Correct option: A
00
Option A (0) is correct because by squaring both sides of the given equation and using trigonometric identities, we find that (3cos⁡θ−4sin⁡θ)2=0(3 \cos \theta - 4 \sin \theta)^2 = 0.

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