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Trigonometry – II — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsTrigonometry – II2 Marks
MCQ
$2 \sin \frac{5 \pi}{12} \cos \frac{\pi}{12}=$
  • ✓
    $\frac{2+\sqrt{3}}{2}$
  • B
    $\frac{2-\sqrt{3}}{2}$
  • C
    $\frac{1}{2}$
  • D
    $\frac{3}{2}$
✓

Answer

Correct option: A.
$\frac{2+\sqrt{3}}{2}$
(A)
$2 \sin \frac{5 \pi}{12} \cos \frac{\pi}{12}=\sin \left(\frac{5 \pi}{12}+\frac{\pi}{12}\right)+\sin \left(\frac{5 \pi}{12}-\frac{\pi}{12}\right)$
$=\sin \frac{\pi}{2}+\sin \frac{\pi}{3}$
$=1+\frac{\sqrt{3}}{2}=\frac{2+\sqrt{3}}{2}$

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