JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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Analyzing +4 | -1

The value of the expression

3{\left( {\sin \,\,\theta - \cos \,\,\theta } \right)^4} + \,\,6{\left( {\sin \,\,\theta + \cos \,\,\theta } \right)^2} + \,\,4\left( {{{\sin }^6}\,\,\theta + {{\cos }^6}\,\,\theta } \right)

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Correct option: C

\mathrm{13}

Option C (13) is correct because expanding and simplifying the given trigonometric expression results in a constant value of 13.

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