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JEE MATHEMATICS MCQ: MULTIPLE AND SUBMULTIPLE ANGLES

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Application +4 | -1
If 3sin⁡θ+5cos⁡θ=53 \sin \theta+5 \cos \theta=5, then the value of 5sin⁡θ−3cos⁡θ5 \sin \theta-3 \cos \theta is equal to
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Correct option: B
3
Option B (3) is correct because by using trigonometric identities and the given equation, the value of 5sin⁡θ−3cos⁡θ5 \sin \theta - 3 \cos \theta can be derived to be 3.

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