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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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Application +4 | -1
The expression 3  {sin⁡4(3 π2−α)+sin⁡4  (3 π−α)}−2  {sin⁡6(π2+α)+sin⁡6  (5 π−α)}3\,\,\left\{ {{{\sin }^4}\left( {\frac{{3\,\pi }}{2} - \alpha } \right) + {{\sin }^4}\,\,\left( {3\,\pi - \alpha } \right)} \right\} - 2\,\,\left\{ {{{\sin }^6}\left( {\frac{\pi }{2} + \alpha } \right) + {{\sin }^6}\,\,\left( {5\,\pi - \alpha } \right)} \right\} is equal to
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Correct option: B
1\mathrm{1}
Option B (1) is correct because after simplifying the trigonometric expressions and applying trigonometric identities, the expression evaluates to 1.

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