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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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Application +4 | -1
The maximum value of cos⁡2(π3−x)  −cos⁡2(π3+x){\cos ^2}\left( {\frac{\pi }{3} - x} \right)\,\, - {\cos ^2}\left( {\frac{\pi }{3} + x} \right) is
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Correct option: C
32\frac{{\sqrt 3 }}{2}
Option C is correct because the maximum value is found by simplifying the expression and using the maximum value of the sine function.

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