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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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Analyzing +4 | -1
3 (sin⁡  x−cos⁡  x)4+6  (sin⁡  x+cos⁡  x)2+4    (sin⁡6  x+cos⁡6  x)3\,{(\sin \,\,x - \cos \,\,x)^4} + 6\,\,{\left( {\sin \,\,x + \cos \,\,x} \right)^2} + 4\,\,\;\left( {{{\sin }^6}\,\,x + {{\cos }^6}\,\,x} \right) is equal to
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Correct option: C
13\mathrm{13}
Option C (13) is correct because after simplification using trigonometric identities, the expression evaluates to 13.

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