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Trigonometry – II — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsTrigonometry – II2 Marks
MCQ
The largest value of $\sin \theta \cos \theta$ is
  • A
    1
  • ✓
    $\frac{1}{2}$
  • C
    $\frac{1}{\sqrt{2}}$
  • D
    $\frac{\sqrt{3}}{2}$
✓

Answer

Correct option: B.
$\frac{1}{2}$
(B)
$\sin \theta \cos \theta=\frac{1}{2}(\sin 2 \theta)$
Since $-1 \leq \sin 2 \theta \leq 1$
$\Rightarrow-\frac{1}{2} \leq \frac{1}{2}(\sin 2 \theta) \leq \frac{1}{2}$
Largest value is $\frac{1}{2}$.

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