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JEE MATHEMATICS MCQ: MULTIPLE AND SUBMULTIPLE ANGLES

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The value of (1+cos⁡  π6)  (1+cos⁡  π3)  (1+cos⁡  2π3)  (1+cos⁡  7π6)\left( {1 + \cos \,\,\frac{\pi }{6}} \right)\,\,\left( {1 + \cos \,\,\frac{\pi }{3}} \right)\,\,\left( {1 + \cos \,\,\frac{{2\pi }}{3}} \right)\,\,\left( {1 + \cos \,\,\frac{{7\pi }}{6}} \right) is
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Correct option: A
316\frac{3}{{16}}
Option A (316\frac{3}{{16}}) is correct because it is derived by substituting the values of the cosine function and simplifying the expression.

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