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JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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∑n=124sin⁡(π2)\sum_{n=12}^4 \sin \left(\frac{\pi}{2}\right) is equal to
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Correct option: D
3+2+22\frac{\sqrt{3}+\sqrt{2}+2}{2}
Option D (3+2+22\frac{\sqrt{3}+ \sqrt{2}+2}{2}) is correct because it is the sum of sin⁡π1\sin{\frac{\pi}{1}}, sin⁡π2\sin{\frac{\pi}{2}}, sin⁡π3\sin{\frac{\pi}{3}}, and sin⁡π4\sin{\frac{\pi}{4}}.

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