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JEE MATHEMATICS MCQ: MULTIPLE AND SUBMULTIPLE ANGLES

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If 2cos⁡θ+sin⁡θ=12 \cos \theta+\sin \theta=1, then 7cos⁡θ+6sin⁡θ7 \cos \theta+6 \sin \theta equals
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Correct option: D
2 or 6
Option D (2 or 6) is correct because by using trigonometric substitutions and solving the resulting quadratic equation, we find two possible values for the expression 7cos⁡θ+6sin⁡θ7 \cos \theta+6 \sin \theta.

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